Gunther UHLMANN

PhD in Mathematics
Massachusetts Institute of Technology, 1976

IAS Si Yuan Professor

Chair Professor
Department of Mathematics



(852) 3469 2460
gunther@ust.hk
Room IAS4010
Personal Web

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Google Scholar
duMfIFAAAAAJ

ORCID
0000-0003-1572-7854

Scopus ID
7004576662




Research Interest Publications Projects Teaching Assignment




Research Interest

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Inverse problems
Partial differential equations
Scattering theory



Publications

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All Years 276 2022 0 2021 8 2020 11 2019 13 2018 9 2017 3 2016 232

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2021 8

Generic uniqueness and stability for the mixed ray transform
Transactions of the American Mathematical Society, v. 374, (9), September 2021, p. 6085-6144
De Hoop, Maarten V.; Saksala, Teemu; Uhlmann, Gunther Alberto Arancibia; Zhai, Jian Article
Inverse problems for the fractional-Laplacian with lower order non-local perturbations
Transactions of the American Mathematical Society, v. 374, (5), May 2021, p. 3053-3075
Bhattacharyya, Sombuddha; Ghosh, Tuhin; Uhlmann, Gunther Alberto Arancibia Article
Local and global boundary rigidity and the geodesic X-ray transform in the norma gauge
Annals of Mathematics, v. 194, (1), July 2021, p. 1-95
Stefanov, Plamen; Uhlmann, Gunther Alberto Arancibia; Vasy, Andras Article
On an inverse boundary value problem for a nonlinear elastic wave equation
Journal des Mathematiques Pures et Appliquees, v. 153, September 2021, p. 114-136
Uhlmann, Gunther Alberto Arancibia; Zhai, Jian Article
Reconstruction in the Calderón problem on conformally transversally anisotropic manifolds
Journal of Functional Analysis, v. 281, (9), November 2021, article number 109191
Feizmohammadi, Ali; Krupchyk, Katya; Oksanen, Lauri; Uhlmann, Gunther Alberto Arancibia Article
Reconstruction of the collision kernel in the nonlinear Boltzmann equation
SIAM Journal on Mathematical Analysis, v. 53, (1), February 2021, p. 1049-1069
Lai, Ru-Yu; Uhlmann, Gunther Alberto Arancibia; Yang, Yang Article
The Calderón Inverse Problem for Isotropic Quasilinear Conductivities
Advances In Mathematics, v. 391, 19 November 2021, article number 107956
Carstea, C?t?lin I.; Feizmohammadi, Ali; Kian, Yavar; Krupchyk, Katya; Uhlmann, Gunther Alberto Arancibia Article
Travel Time Tomography in Stationary Spacetimes
Journal of Geometric Analysis, 23 February 2021
Uhlmann, Gunther Alberto Arancibia; Yang, Yang; Zhou, Hanming Article

2020 11

A remark on partial data inverse problems for semilinear elliptic equations
Proceedings of the American Mathematical Society, v. 148, (2), February 2020, p. 681-685
Krupchyk, Katya; Uhlmann, Gunther Alberto Arancibia Article
Convolutional neural networks in phase space and inverse problems
SIAM Journal on Applied Mathematics, v. 80, (6), December 2020, p. 2560-2585
Uhlmann, Gunther Alberto Arancibia; Wang, Yiran Article
Determination of Space-Time Structures from Gravitational Perturbations
Communications on Pure and Applied Mathematics, v. 73, (6), June 2020, p. 1315-1367
Uhlmann, Gunther Alberto Arancibia; Wang, Yiran Article
Inverse Problems for Nonlinear Hyperbolic Equations
Discrete and Continuous Dynamical Systems- Series A, v. 41, (1), January 2021, p. 455-469
Uhlmann, Gunther Alberto Arancibia; Zhai, Jian Article
Nonlinear interaction of waves in elastodynamics and an inverse problem
Mathematische Annalen, v. 376, (1-2), February 2020, p. 765-795
De Hoop, Maarten; Uhlmann, Gunther Alberto Arancibia; Wang, Yiran Article
Partial data inverse problems for semilinear elliptic equations with gradient nonlinearities
Mathematical Research Letters, v. 27, (6), 2020, p. 1801-1824
Krupchyk, Katya; Uhlmann, Gunther Alberto Arancibia Article
Recovery of discontinuous Lamé parameters from exterior Cauchy data
Communications in Partial Differential Equations, January 2021
Caday, Peter; de Hoop, Maarten V.; Katsnelson, Vitaly; Uhlmann, Gunther Alberto Arancibia Article
Recovery of Material Parameters in Transversely Isotropic Media
Archive for Rational Mechanics and Analysis, v. 235, (1), January 2020, p. 141-165
de Hoop, Maarten V.; Uhlmann, Gunther Alberto Arancibia; Vasy, András Article
The Calderón problem for the fractional Schr?dinger equation
Analysis and PDE, v. 13, (2), 2020, p. 455-475
Ghosh, Tuhin; Salo, Mikko; Uhlmann, Gunther Article
The Light Ray Transform on Lorentzian Manifolds
Communications in Mathematical Physics, 2020
Lassas, Matti; Oksanen, Lauri; Stefanov, Plamen; Uhlmann, Gunther Alberto Arancibia Article
Uniqueness and reconstruction for the fractional Calderón problem with a single measurement
Journal of Functional Analysis, v. 279, (1), July 2020, article number 108505
Ghosh, Tuhin; Rüland, Angkana; Salo, Mikko; Uhlmann, Gunther Alberto Arancibia Article

2019 13

Inverse Problems for the Stationary Transport Equation in the Diffusion Scaling
SIAM Journal on Applied Mathematics, v. 79, (6), December 2019, p. 2340-2358
Lai, Ru-Yu; Li, Qin; Uhlmann, Gunther Alberto Arancibia Article
Inverting the local geodesic ray transform of higher rank tensors
Inverse Problems, v. 35, (11), October 2019, article number 115009
De Hoop, Maarten V.; Uhlmann, Gunther Alberto Arancibia; Zhai, Jian Article
Lens Rigidity for a Particle in a Yang-Mills Field
Communications in Mathematical Physics, v. 366, (2), March 2019, p. 681-707
Paternain, Gabriel P.; Uhlmann, Gunther Alberto Arancibia; Zhou, Hanming Article
Nonlinear Responses From The Interaction Of Two Progressing Waves At An Interface
Annales de l'Institut Henri Poincare (C) Analyse Non Lineaire, v. 36, (2), March - April 2019, p. 347-363
De Hoop, Maarten V.; Uhlmann, Gunther A.; Wang, Yiran Article
Numerical Inversion of Three-Dimensional Geodesic X-Ray Transform Arising from Travel Time Tomography
SIAM JOURNAL ON IMAGING SCIENCES, v. 12, (3), 2019, p. 1296-1323
Yeung, T. S. Au; Chung, Eric T.; Uhlmann, Gunther Alberto Arancibia Article
On an Inverse Boundary Problem Arising in Brain Imaging
Journal of Differential Equations, v. 267, (4), August 2019, p. 2471-2502
Deng, Youjun; Liu, Hongyu; Uhlmann, Gunther Alberto Arancibia Article
Reconstruction of Lorentzian Manifolds from Boundary Light Observation Sets
International Mathematics Research Notices, v. 2019, (22), November 2019, p. 6949-6987
Hintz, Peter; Uhlmann, Gunther Alberto Arancibia Article
Reconstruction of Piecewise Smooth Wave Speeds Using Multiple Scattering
Transactions of the American Mathematical Society, v. 372, (2), July 2019, p. 1213-1235
Caday, Peter; De Hoop, Maarten V.; Katsnelson, Vitaly; Uhlmann, Gunther Alberto Arancibia Article
Scattering Control for the Wave Equation with Unknown Wave Speed
Archive for Rational Mechanics and Analysis, v.231, (1), January 2019, p. 409-464
Caday, Peter; de Hoop, Maarten V.; Katsnelson, Vitaly; Uhlmann, Gunther Alberto Arancibia Article
Stability Estimates for Partial Data Inverse Problems for Schr?dinger Operators in the High Frequency Limit
Journal des Mathematiques Pures et Appliquees, v. 126, June 2019, p. 273-291
Krupchyk, Katya; Uhlmann, Gunther Alberto Arancibia Article
The geodesic X-ray transform with matrix weights
American Journal of Mathematics, v. 141, (6), December 2019, p. 1707-1750
Paternain, Gabriel P.; Salo, Mikko; Uhlmann, Gunther Alberto Arancibia; Zhou, Hanming Article
Travel Time Tomography
Acta Mathematica Sinica, English Series, v. 35, (6), June 2019, p. 1085-1114
Stefanov, Plamen D.; Uhlmann, Gunther Alberto Arancibia; Vasy, András; Zhou, Hanming Article
X-ray transform and boundary rigidity for asymptotically hyperbolic manifolds
Annales de l'Institut Fourier, v. 69, (7), 2019, p. 2857-2919
Graham, C.Robin; Guillarmou, Colin; Stefanov, Plamen; Uhlmann, Gunther Alberto Arancibia Article

2018 9

Inverse problems for advection diffusion equations in admissible geometries
Communications in Partial Differential Equations, v. 43, (4), April 2018, p. 585-615
Krupchyk, Katya; Uhlmann, Gunther Alberto Arancibia Article
Inverse Problems for Magnetic Schr?dinger Operators in Transversally Anisotropic Geometries
Communications in Mathematical Physics, v. 361, (2), July 2018, p. 525-582
Krupchyk, Katya; Uhlmann, Gunther Alberto Arancibia Article
Inverse Problems for Semilinear Wave Equations on Lorentzian Manifolds
Communications in Mathematical Physics, v. 360, (2), June 2018, p. 555-609
Lassas, Matti; Uhlmann, Gunther Alberto Arancibia; Wang, Yiran Article
Inversion Formulas and Range Characterizations For The Attenuated Geodesic Ray Transform
Journal des Mathematiques Pures et Appliquees, v. 111, March 2018, p. 161-190
Assylbekov, Yernat M.; Monard, Francois; Uhlmann, Gunther Alberto Arancibia Article
Inverting the Local Geodesic X-ray Transform on Tensors
Journal d'Analyse Mathematique, v. 136, (1), October 2018, p. 151-208
Stefanov, Plamen; Uhlmann, Gunther; Vasy, András Article
Local Recovery of the Compressional and Shear Speeds from the Hyperbolic DN Map
Inverse Problems, v. 34, (1), January 2018, article number 014003
Stefanov, Plamen; Uhlmann, Gunther; Vasy, Andras Article
On The Microlocal Snalysis of The Geodesic X-ray Transform With Conjugate Points
Journal of Differential Geometry, v. 108, (3), March 2018, p. 459-494
Holman, Sean; Uhlmann, Gunther Alberto Arancibia Article
Quantitative Analysis of Metal Artifacts in X-ray Tomography
SIAM Journal on Mathematical Analysis, v. 50, (5), 2018, p. 4914-4936
Palacios, Benjamin; Uhlmann, Gunther Alberto Arancibia; Wang, Yiran Article
Tensor Tomography in Periodic Slabs
Journal of Functional Analysis, v. 275, (2), July 2018, p. 288-299
Ilmavirta, J.; Uhlmann, Gunther Alberto Arancibia Article

2017 3

An Inverse Problem from Condensed Matter Physics
Inverse Problems, v. 33, (11), October 2017, article number 115011
Lai, Ruyu; Shankar, Ravi; Spirn, Daniel; Uhlmann, Gunther A. Article
Full and Partial Cloaking in Electromagnetic Scattering
Archive for Rational Mechanics and Analysis, v. 223, (1), January 2017, p. 265-299
Deng, Youjun; Liu, Hongyu; Uhlmann, Gunther A. Article
Reducing Streaking Artifacts in Quantitative Susceptibility Mapping
SIAM Journal on Imaging Sciences, v. 10, (4), 2017, p. 1921-1934
Palacios, Benjamin; Uhlmann, Gunther; Wang, Yiran Article

2016 5

Boundary rigidity with partial data
Journal of the American Mathematical Society, v. 29, (2), 2016, p. 299-332
Stefanov, Plamen D.; Uhlmann, Gunther A.; Vasy, Andras Article
Local analytic regularity in the linearized calderón problem
Analysis & PDE, v. 9, (3), June 2016, p. 515-544
Sjostrand, Johannes; Uhlmann, Gunther Article
The Calderón Problem with Partial Data for Conductivities with 3/2 Derivatives
Communications in Mathematical Physics, v. 348, (1), November 2016, p. 185-219
Krupchyk, Katya; Uhlmann, Gunther Article
The inverse problem for the local geodesic ray transform
Inventiones Mathematicae, v. 205, (1), July 2016, p. 83-120
Uhlmann, Gunther; Vasy, Andras Article
The X-ray transform for connections in negative curvature
Communications in Mathematical Physics, v. 343, (1), April 2016, p. 83-127
Guillarmou, Colin; Paternain, Gabriel P.; Salo, Mikko; Uhlmann, Gunther Article

2015 10

An inverse kinematic problem with internal sources
Inverse Problems, v. 31, (5), May 2015, article number 055006
Pestov, Leonid N.; Uhlmann, Gunther; Zhou, Hanming Article
Determining both sound speed and internal source in thermo-and photo-acoustic tomography
Inverse Problems, v. 31, (10), September 2015, article number 105005
Liu, Hongyu; Uhlmann, Gunther Article
Invariant distributions, Beurling transforms and tensor tomography in higher dimensions
Mathematische Annalen, v. 363, (1-2), October 2015, p. 305-362
Paternain, Gabriel P.; Salo, Mikko; Uhlmann, Gunther Article
On LpResolvent Estimates for Elliptic Operators on Compact Manifolds
Communications in Partial Differential Equations, v. 40, (3), March 2015, p. 438-474
Krupchyk, Katsiaryna; Uhlmann, Gunther Article
On the inverse problem of finding cosmic strings and other topological defects
Communications in Mathematical Physics, v. 357, (2), January 2018, p. 569-595
Lassas, Matti; Oksanen, Lauri; Stefanov, Plamen D.; Uhlmann, Gunther Alberto Arancibia Article
On the range of the attenuated ray transform for unitary connections
International Mathematics Research Notices, v. 2015, (4), 2015, p. 873-897
Paternain, Gabriel P.; Salo, Mikko; Uhlmann, Gunther Article
Reconstruction of a fully anisotropic elasticity tensor from knowledge of displacement fields
SIAM Journal on Applied Mathematics, v. 75, (5), 2015, p. 2214-2231
Bal, Guillaume P.; Monard, Fran?ois; Uhlmann, Gunther Article
Regularized Transformation-Optics Cloaking for the Helmholtz Equation: From Partial Cloak to Full Cloak
Communications in Mathematical Physics, v. 335, (2), 2015, p. 671-712
Li, Jingzhi; Liu, Hongyu; Rondi, Luca; Uhlmann, Gunther Article
The geodesic ray transform on Riemannian surfaces with conjugate points
Communications in Mathematical Physics, v. 337, (3), August 2015, p. 1491-1513
Monard, Fran?ois; Stefanov, Plamen D.; Uhlmann, Gunther Article
The Neumann-to-Dirichlet map in two dimensions
Advances in Mathematics, v. 281, August 2015, p. 578-593
Imanuvilov, Oleg Yu; Uhlmann, Gunther; Yamamoto, Masahiro Article

2014 9

Inverse Boundary Value Problem for the Stokes and the Navier–Stokes Equations in the Plane
Archive for Rational Mechanics and Analysis, v. 215, (3), 2014, p. 811-829
Lai, Ruyu; Uhlmann, Gunther; Wang, Jenn-Nan Article
Inverse boundary value problems for the perturbed polyharmonic operator
Transactions of the American Mathematical Society, v. 366, (1), January 2014, p. 95-112
Krupchyk, Katsiaryna; Lassas, Matti; Uhlmann, Gunther Article
Inverse problems: seeing the unseen
Bulletin of Mathematical Sciences, v. 4, (2), January 2014, p. 209-279
Uhlmann, Gunther Article
Photoacoustic and thermoacoustic tomography with an uncertain wave speed
Mathematical Research Letters, v. 21, (5), 2014, p. 1199-1214
Oksanen, Lauri; Uhlmann, Gunther Article
Special Issue on Complex Geometrical Optics (CGO) Solutions FOREWORD
Inverse Problems and Imaging, v. 8, (4), November 2014, p. 1-2
Hamilton, Sarah; Knudsen, Kim; Siltanen, Samuli; Uhlmann, Gunther Article
Spectral rigidity and invariant distributions on anosov surfaces
Journal of Differential Geometry, v. 98, (1), 2014, p. 147-181
Paternain, Gabriel P.; Salo, Mikko; Uhlmann, Gunther Article
Tensor tomography: Progress and challenges
Chinese Annals of Mathematics. Series B, v. 35, (3), 2014, p. 399-428
Paternain, Gabriel P.; Salo, Mikko; Uhlmann, Gunther Article
Uniqueness for the inverse backscattering problem for angularly controlled potentials
Inverse Problems, v. 30, (6), 2014, article number 065005
Rakesh; Uhlmann, Gunther Article
Uniqueness in an Inverse Boundary Problem for a Magnetic Schr?dinger Operator with a Bounded Magnetic Potential
Communications in Mathematical Physics, v. 327, (3), 2014, p. 993-1009
Krupchyk, Katsiaryna; Uhlmann, Gunther Article

2013 10

Increasing stability in an inverse problem for the acoustic equation
Inverse Problems, v. 29, (2), February 2013, article number 025012
Nagayasu, Sei; Uhlmann, Gunther; Wang, Jenn-Nan Article
Instability of the linearized problem in multiwave tomography of recovery both the source and the speed
Inverse Problems and Imaging, v. 7, (4), November 2013, p. 1367-1377
Stefanov, Plamen D.; Uhlmann, Gunther Article
Inverse Boundary Problems for Systems in Two Dimensions
Annales Henri Poincare, v. 14, (6), September 2013, p. 1551-1571
Albin, Pierre; Guillarmou, Colin; Tzou, Leo; Uhlmann, Gunther Article
Is a curved flight path in SAR better than a straight one?
SIAM Journal on Applied Mathematics, v. 73, (4), 2013, p. 1596-1612
Stefanov, Plamen D.; Uhlmann, Gunther Article
Multiscale discrete approximations of Fourier integral operators associated with canonical transformations and caustics
Multiscale Modeling and Simulation, v. 11, (2), 2013, p. 566-585
De Hoop, Maarten V.; Uhlmann, Gunther; Vasy, András; Wendt, Herwig Article
Reconstruction of coefficients in scalar second-order elliptic equations from knowledge of their solutions
Communications on Pure and Applied Mathematics, v. 66, (10), October 2013, p. 1629-1652
Bal, Guillaume P.; Uhlmann, Gunther Article
Recovery of a source term or a speed with one measurement and applications
Transactions of the American Mathematical Society, v. 365, (11), 2013, p. 5737-5758
Stefanov, Plamen D.; Uhlmann, Gunther Article
Tensor tomography on surfaces
Inventiones Mathematicae, v. 193, (1), July 2013, p. 229-247
Paternain, Gabriel P.; Salo, Mikko; Uhlmann, Gunther Article
Inverse Problems and Applications: Inside Out II
Inverse Problems and Applications: Inside Out II (Mathematical Sciences Research Institute Publications: Book 60) / Edited by Gunther Uhlmann. Cambridge University Press, 2013
Uhlmann, Gunther Book
Multi-wave methods via ultrasound
Inverse Problems and Applications: Inside Out II / Edited by Gunther Uhlmann. Cambridge : Cambridge University Press, 2013, p. 271-323
Stefanov, Plamen D.; Uhlmann, Gunther Book chapter

2012 9

Cloaked electromagnetic, acoustic, and quantum amplifiers via transformation optics
Proceedings of the National Academy of Sciences of the United States of America, v. 109, (26), June 2012, p. 10169-10174
Greenleaf, Allan; Kurylev, Yaroslav V.; Lassas, Matti; Leónhardt, Ulf; Uhlmann, Gunther Article
Determining a first order perturbation of the biharmonic operator by partial boundary measurements
Journal of Functional Analysis, v. 262, (4), 2012, p. 1781–1801
Krupchyk, Katsiaryna; Lassas, Matti; Uhlmann, Gunther Article
Inverse Problems With Partial Data for a Magnetic Schr?dinger Operator in an Infinite Slab and on a Bounded Domain
Communications in Mathematical Physics, v. 312, (1), 2012, p. 87-126
Krupchyk, Katsiaryna; Lassas, Matti; Uhlmann, Gunther Article
On uniqueness of Lamé coefficients from partial Cauchy data in three dimensions
Inverse problems, v. 28, (12), November 2012, article number 125002
Imanuvilov, Oleg Yu; Uhlmann, Gunther; Yamamoto, Masahiro Article
Partial Cauchy data for general second order elliptic operators in two dimensions
Publications of the Research Institute for Mathematical Sciences, v. 48, (4), 2012, p. 971-1055
Imanuvilov, Oleg Yu; Uhlmann, Gunther; Yamamoto, Masahiro Article
Reconstructions for some coupled-physics inverse problems
Applied mathematics letters, v. 25, (7), 2012, p. 1030-1033
Bal, Guillaume P.; Uhlmann, Gunther Article
Regularity and multi-scale discretization of the solution construction of hyperbolic evolution equations with limited smoothness
Applied and computational harmonic analysis, v. 33, (3), 2012, p. 330-353
De Hoop, Maarten V.; Holman, Sean F.; Smith, Hart F.; Uhlmann, Gunther Article
The attenuated ray transform for connections and Higgs fields
Geometric and functional analysis, v. 22, (5), 2012, p. 1460-1489
Paternain, Gabriel P.; Salo, Mikko; Uhlmann, Gunther Article
The geodesic x-ray transform with fold caustics
Analysis & PDE, v. 5, (2), 2012, p. 219-260
Stefanov, Plamen D.; Uhlmann, Gunther Article

2011 22

An adaptive phase space method with application to reflection traveltime tomography
Inverse problems, v. 27, (11), 2011, article number 115002
Chung, Eric; Qian, Jianliang; Uhlmann, Gunther; Zhao, Hongkai Article
An efficient neumann series-based algorithm for thermoacoustic and photoacoustic tomography with variable sound speed
SIAM journal on imaging sciences, v. 4, (3), 2011, p. 850-883
Qian, Jianliang; Stefanov, Plamen D.; Uhlmann, Gunther; Zhao, Hongkai Article
Approximate quantum and acoustic cloaking
Journal of Spectral Theory, v. 1, (1), 2011, p. 27-80
Greenleaf, Allan; Kurylev, Yaroslav V.; Lassas, Matti; Uhlmann, Gunther Article
Asymptotic behavior of solutions of the stationary Navier-Stokes equations in an exterior domain
Indiana University mathematics journal, v. 60, (6), 2011, p. 2093-2106
Lin, Ching-Lung; Uhlmann, Gunther; Wang, Jenn-Nan Article
Calderon's paper "On an inverse boundary value problem"
Revista matemática iberoamericana, 2011, p. 297+
Uhlmann, Gunther Article
Cloaking a sensor for three-dimensional Maxwell's equations: Transformation optics approach
Optics express, v. 19, (21), 2011, p. 20518-20530
Chen, Xudong; Uhlmann, Gunther Article
Cloaking a sensor via transformation optics
Physical Review E, v. 83, (1), January 2011, article number 016603
Greenleaf, Allan; Kurylev, Yaroslav V.; Lassas, Matti; Uhlmann, Gunther Article
Decoupling of modes for the elastic wave equation in media of limited smoothness
Communications in partial differential equations, v. 36, (10), 2011, p. 1683-1693
Brytik, Valeriy; De Hoop, Maarten V.; Smith, Hart F.; Uhlmann, Gunther Article
Determination of second-order elliptic operators in two dimensions from partial Cauchy data
Proceedings of the National Academy of Sciences of the United States of America, v. 108, (2), January 2011, p. 467-472
Imanuvilov, Oleg Yu; Uhlmann, Gunther; Yamamoto, Masahiro Article
Inverse boundary value problem by measuring Dirichlet data and Neumann data on disjoint sets
Inverse problems, v. 27, (8), 2011, article number 085007
Imanuvilov, Oleg Yu; Uhlmann, Gunther; Yamamoto, Masahiro Article
Inverse problems for differential forms on riemannian manifolds with boundary
Communications in partial differential equations, v. 36, (8), 2011, p. 1475-1509
Krupchyk, Katsiaryna; Lassas, Matti; Uhlmann, Gunther Article
Inverse problems for the anisotropic maxwell equations
Duke mathematical journal, v. 157, (2), 2011, p. 369-419
Kenig, Carlos E.; Salo, Mikko; Uhlmann, Gunther Article
Polarization-invariant directional cloaking by transformation optics
Progress In Electromagnetics Research, v. 118, 2011, p. 415-423
Agarwal, Krishna; Chen, Xudong; Hu, Li; Liu, Hongyu; Uhlmann, Gunther Article
Quantitative strong unique continuation for the Lamé system with less regular coefficients
Methods and Applications of Analysis, v. 18, (1), 2011, p. 85-92
Uhlmann, Gunther; Lin, Ching-Lung; Nakamura, Gen; Wang, Jenn-Nan Article
Quantitative thermo-acoustics and related problems
Inverse problems, v. 27, (5), 2011, article number 055007
Bal, Guillaume P.; Ren, Kui; Uhlmann, Gunther; Zhou, Ting Article
Reconstruction of penetrable obstacles in acoustic scattering
SIAM journal on mathematical analysis, v. 43, (1), 2011, p. 189-211
Nagayasu, Sei; Uhlmann, Gunther; Wang, Jenn-Nan Article
Reconstructions from boundary measurements on admissible manifolds
Inverse problems and imaging, v. 5, (4), 2011, p. 859-877
Kenig, Carlos E.; Salo, Mikko; Uhlmann, Gunther Article
The attenuated ray transform on simple surfaces
Journal of differential geometry, v. 88, (1), 2011, p. 161-187
Salo, Mikko; Uhlmann, Gunther Article
Thermoacoustic tomography arising in brain imaging
Inverse problems, v. 27, (4), 2011, article number 045004
Stefanov, Plamen D.; Uhlmann, Gunther Article
Universal multi-scale computations of Fourier integral operators for coherent imaging in caustics
SEG technical program expanded abstracts, v. 30, (1), 2011, p. 2936-2940
Wendt, Herwig; De Hoop, Maarten V.; Uhlmann, Gunther; Vasy, András Article
Tomography and Inverse Transport Theory
Tomography and Inverse Transport Theory, Contemporary Mathematics vol. 559 / Guillaume Bal, Peter Kuchment, Plamen Stefanov, Gunther Uhlmann. AMS, 2011
Bal, Guillaume P.; Kuchment, Peter; Stefanov, Plamen D.; Schotland, John; Uhlmann, Gunther Book
Wave Phenomena
Handbook of Mathematical Methods in Imaging / Otmar Schetzer editor. New York: Springer-Verlag, 2011, p. 867-909
Lassas, Matti; Salo, Mikko; Uhlmann, Gunther Book chapter

2010 8

Inverse diffusion theory of photoacoustics
Inverse problems, v. 26, (8), August 2010, article Number: 085010
Bal, Guillaume P.; Uhlmann, Gunther Article
Inverse problems with partial data in a slab
Inverse problems and imaging, v. 4, (3), 2010, p. 449-462
Li, Xiaosheng; Uhlmann, Gunther Article
Inverse scattering for the magnetic Schr?dinger operator
Journal of functional analysis, v. 259, (7), 2010, p. 1771-1798
P?iv?rinta, Lassi Juhani; Salo, Mikko; Uhlmann, Gunther Article
Methods and Applications of Analysis: Preface
Methods and Applications of Analysis, v. 17, no. 4 (Dec 2010) p. i-ii
Uhlmann, G.; Chung, Tsz Shun; Yamamoto, Masahiro; Zou, Jun Article
Optimal three-ball inequalities and quantitative uniqueness for the Stokes system
Discrete and continuous dynamical systems, v. 28, (3), 2010, p. 1273-1290
Lin, Ching-Lung; Uhlmann, Gunther; Wang, Jenn-Nan Article
Reconstructing the metric and magnetic field from the scattering relation
Inverse problems and imaging, v. 4, (3), 2010, p. 397-409
Dairbekov, Nurlan S.; Uhlmann, Gunther Article
Rigidity of broken geodesic flow and inverse problems
American journal of mathematics, v. 132, (2), 2010, p. 529-562
Kurylev, Yaroslav V.; Lassas, Matti; Uhlmann, Gunther Article
The calderón problem with partial data in two dimensions
Journal of the American Mathematical Society, v. 23, (3), 2010, p. 655-691
Imanuvilov, Oleg Yu; Uhlmann, Gunther; Yamamoto, Masahiro Article

2009 13

A depth-dependent stability estimate in electrical impedance tomography
Inverse problems, v. 25, (7), 2009, article number 075001
Nagayasu, Sei; Uhlmann, Gunther; Wang, Jenn-Nan Article
Cloaking devices, electromagnetic wormholes, and transformation optics
SIAM review, v. 51, (1), 2009, p. 3-33
Greenleaf, Allan; Kurylev, Yaroslav V.; Lassas, Matti; Uhlmann, Gunther Article
Electrical impedance tomography and Calderón's problem
Inverse problems, v. 25, (12), 2009, article number 123011
Uhlmann, Gunther Article
Invisibility and inverse problems
Bulletin of the American Mathematical Society, v. 46, (1), 2009, p. 55-97
Greenleaf, Allan; Kurylev, Yaroslav V.; Lassas, Matti; Uhlmann, Gunther Article
Limiting Carleman weights and anisotropic inverse problems
Inventiones mathematicae, v. 178, (1), 2009, p. 119-171
Ferreira, David Dos Santos; Kenig, Carlos E.; Salo, Mikko; Uhlmann, Gunther Article
Linearizing non-linear inverse problems and an application to inverse backscattering
Journal of functional analysis, v. 256, (9), 2009, p. 2842-2866
Stefanov, Plamen D.; Uhlmann, Gunther Article
Local lens rigidity with incomplete data for a class of non-simple riemannian manifolds
Journal of differential geometry, v. 82, (2), 2009, p. 383-409
Stefanov, Plamen D.; Uhlmann, Gunther Article
On the linearized local calderón problem
Mathematical research letters, v. 16, (6), 2009, p. 955-970
Ferreira, David Dos Santos; Kenig, Carlos E.; Sj?strand, Johannes; Uhlmann, Gunther Article
Reconstruction of inclusions in an elastic body
Journal de mathématiques pures et appliquées, v. 91, (6), 2009, p. 569-582
Uhlmann, Gunther; Wang, Jenn-Nan; Wu, Chintien Article
Seismic imaging with the generalized Radon transform: A curvelet transform perspective
Inverse problems, v. 25, (2), 2009, article number 025005
De Hoop, Maarten V.; Smith, Hart F.; Uhlmann, Gunther; Van Der Hilst, Robert D. Article
Thermoacoustic tomography with variable sound speed
Inverse problems, v. 25, (7), 2009, article number 075011
Stefanov, Plamen D.; Uhlmann, Gunther Article
Unique Continuation Property for the Elasticity with General Residual Stress
Inverse problems and imaging, v. 3, (2), May 2009, p. 309-317
Uhlmann, Gunther; Wang, Jenn-Nan Article
Visibility and invisibility
ICIAM 07: 6th International Congress on Industrial and Applied Mathematics, Zürich, Switzerland, 16-20 July 2007, 2009, p. 381-408
Uhlmann, Gunther Conference paper

2008 13

A multi-scale approach to hyperbolic evolution equations with limited smoothness
Communications in partial differential equations, v. 33, (6), 2008, p. 988-1017
Andersson, Fredrik N.G.; De Hoop, Maarten V.; Smith, Hart F.; Uhlmann, Gunther Article
An Inverse Source Problem in Optical Molecular Imaging
Analysis & PDE, v. 1, (1), 2008, p. 115-126
Stefanov, Plamen D.; Uhlmann, Gunther Article
Approximate Quantum Cloaking and Almost-Trapped States
Physical Review Letters, v. 101, (22), November 2008, Article number 220404
Greenleaf, Allan; Kurylev, Yaroslav; Lassas, Matti; Uhlmann, Gunther Article
Complex geometrical optics solutions for anisotropic equations and applications
Journal of inverse and III-posed problems, v. 16, (8), 2008, p. 791-804
Takuwa, H.; Uhlmann, Gunther; Wang, Jenn-Nan Article
Electromagnetic wormholes via handlebody constructions
Communications in Mathematical Physics, v. 281, (2), 2008, p. 369-385
Greenleaf, Allan; Kurylev, Yaroslav V.; Lassas, Matti; Uhlmann, Gunther Article
Generalized backscattering and the Lax-Phillips transform
Serdica Mathematical Journal, v. 34, 2008, p. 1026-1044
Melrose, Richard B.; Uhlmann, Gunther Article
Integral geometry of tensor fields on a class of non-simple Riemannian manifolds
American journal of mathematics, v. 130, (1), 2008, p. 239-268
Stefanov, Plamen D.; Uhlmann, Gunther Article
Isotropie transformation optics: Approximate acoustic and quantum cloaking
New journal of physics, v. 10, 2008, article number 115024
Greenleaf, Allan; Kurylev, Yaroslav V.; Lassas, Matti; Uhlmann, Gunther Article
Reconstructing discontinuities using complex geometrical optics solutions
SIAM journal on applied mathematics, v. 68, (4), 2008, p. 1026-1044
Uhlmann, Gunther; Wang, Jenn-Nan Article
The X-ray transform for a generic family of curves and weights
Journal of geometric analysis, v. 18, (1), 2008, p. 89-108
Frigyik, Béla András; Stefanov, Plamen D.; Uhlmann, Gunther Article
Boundary and lens rigidity, tensor tomography and analytic microlocal analysis
Algebraic Analysis of Differential Equations / Fetschrift in Honor of Takahiro Kawai, edited by T. Aoki, H. Majima, Y. Katei and N. Tose, 2008, p. 275-293
Stefanov, Plamen D.; Uhlmann, Gunther Book chapter
Commentary on Calderón's paper (29), On an inverse boundary value problem
Selected Papers of Alberto P. Calderón with Commentary / Edited by Alexandra Bellow, Carlos E. Kenig and Paul Malliavin. American Mathematical Society, Rhode Island, United States, 2008, p. 623-636
Uhlmann, Gunther Book chapter
A phase-space formulation for elastic-wave traveltime tomography
4th Applied Inverse Problems International Conference, AIP 2007 and the 1st Congress of the Inverse Problems International Association, IPIA 2007, Vancouver, BC, Canada, 25-29 June 2007, Journal of physics. Conference series, v. 124, (1), 2008, article number 012018
Chung, Eric; Qian, Jianliang; Uhlmann, Gunther; Zhao, Hongkai Conference paper

2007 14

A new phase space method for recovering index of refraction from travel times
Inverse problems, v. 23, (1), February 2007, p. 309-329
Chung, Eric; Qian, Jianliang; Uhlmann, Gunther; Zhao, Hongkai Article
Complex spherical waves for the elasticity system and probing of inclusions
SIAM journal on mathematical analysis, v. 38, (6), 2007, p. 1967-1980
Uhlmann, Gunther; Wang, Jenn-Nan Article
Determining a magnetic Schr?dinger operator from partial cauchy data
Communications in Mathematical Physics, v. 271, (2), 2007, p. 467-488
Ferreira, David Dos Santos; Kenig, Carlos E.; Sj?strand, Johannes; Uhlmann, Gunther Article
Electromagnetic Wormholes and Virtual Magnetic Monopoles from Metamaterials
Physical Review Letters, v. 99, (18), November 2007, article number 183901
Greenleaf, Allan; Kurylev, Yaroslav; Lassas, Matti; Uhlmann, Gunther Article
Full-wave invisibility of active devices at all frequencies
Communications in Mathematical Physics, v. 275, (3), 2007, p. 749-789
Greenleaf, Allan; Kurylev, Yaroslav V.; Lassas, Matti; Uhlmann, Gunther Article
Improvement of cylindrical cloaking with the SHS lining
Optics express, v. 15, (20), 2007, p. 12717-12734
Greenleaf, Allan; Kurylev, Yaroslav V.; Lassas, Matti; Uhlmann, Gunther Article
Parametrices for symmetric systems with multiplicity
Wave motion, v. 44, (4), 2007, p. 231-247
Nolan, Clifford J.; Uhlmann, Gunther Article
Probing for electrical inclusions with complex spherical waves
Communications on pure and applied mathematics, v. 60, (10), 2007, p. 1415-1442
Ide, Takanori; Isozaki, Hiroshi; Nakata, Susumu; Siltanen, Samuli; Uhlmann, Gunther Article
Reconstruction of obstacles immersed in an incompressible fluid
Inverse problems and imaging, v. 1, (1), February 2007, p. 63-76
Heck, Horst; Uhlmann, Gunther; Wang, Jenn-Nan Article
The boundary rigidity problem in the presence of a magnetic field
Advances in mathematics, v. 216, (2), 2007, p. 535-609
Dairbekov, Nurlan S.; Paternain, Gabriel P.; Stefanov, Plamen D.; Uhlmann, Gunther Article
The Calderón problem for partial cauchy data
Annals of Math., v. 22, 2007, p. 431-445
Kenig, Carlos E.; Sj?strand, Johannes; Uhlmann, Gunther Article
The Calderón problem with partial data
Annals of mathematics, v. 165, (2), 2007, p. 567-591
Kenig, Carlos E.; Sj?strand, Johannes; Uhlmann, Gunther Article
Unique continuation for hyperbolic equations with memory
Journal of inverse and III-posed problems, v. 15, (6), 2007, p. 587-598
Bukhgeǐm, Alexander L.; Dyatlov, Gleb V.; Uhlmann, Gunther Article
Inverse problems, invisibility, and artificial wormholes
Journal of Physics: Conference Series, v. 124, 2008, article number 012005
Greenleaf, Allan; Kurylev, Yaroslav V.; Lassas, Matti; Uhlmann, Gunther Conference paper

2006 5

Characterization and 'source-receiver' continuation of seismic reflection data
Communications in Mathematical Physics, v. 263, (1), 2006, p. 1-19
De Hoop, Maarten V.; Uhlmann, Gunther Article
Inverse problems and Applications
Special issue of Computational and Applied Mathematics, v. 25, (2-3), 2006, Petr ?opolis.
Menzala, G. Perla; Uhlmann, Gunther Conference paper
Oscillating-Decaying Solutions for Elliptic Systems
Workshop on Inverse Problems, Multi-Scale Analysis and Homogenization, Seoul Natl Univ, Seoul, South Korea, JUN 22-24, 2005, Contemporary Mathematics, v. 408, 2006, p. 219-230
Nakamura, Gen; Uhlmann, Gunther; Wang, Jenn-Nan Conference paper
Reconstruction of discontinuities in systems
Journal of Physics: Conference Series, v. 73, June 2007, article number 012024
Uhlmann, Gunther; Wang, Jenn-Nan Conference paper
The scattering relation and the Dirichlet-to-Neumann map
10th International Conference on Differential Equations and Mathematical Physics, Univ Alabama, Birmingham, Birmingham, AL, MAR 29-APR 02, 2005, RECENT ADVANCES IN DIFFERENTIAL EQUATIONS AND MATHEMATICAL PHYSICS, Contemporary mathematics, v. 412, 2006, p. 249-262
Pestov, Leonid N.; Uhlmann, Gunther Conference paper

2005 7

Boundary rigidity and stability for generic simple metrics
Journal of the American Mathematical Society, v. 18, (4), 2005, p. 975-1003
Stefanov, Plamen D.; Uhlmann, Gunther Article
Oscillating-decaying solutions, Runge approximation property for the anisotropic elasticity system and their applications to inverse problems
Journal de mathématiques pures et appliquées, v. 84, (1), 2005, p. 21-54
Nakamura, Gen; Uhlmann, Gunther; Wang, Jenn-Nan Article
Recent Progress on the Boundary Rigidity Problem
Electronic Research Announcements of the American Mathematical Society, v. 11, 2005, p. 64-70
Stefanov, Plamen D.; Uhlmann, Gunther Article
Reconstruction of cracks in an inhomogeneous anisotropic medium using point sources
Advances in applied mathematics, v. 34, (3), 2005, p. 591-615
Nakamura, Gen; Uhlmann, Gunther; Wang, Jenn-Nan Article
Regularity of ghosts in tensor tomography
Journal of geometric analysis, v. 15, (3), 2005, p. 499-542
Sharafutdinov, Vladimir A.; Skokan, Michal; Uhlmann, Gunther Article
Stable determination of generic simple metrics from the hyperbolic Dirichlet-to-Neumann map
International mathematics research notices, (17), 2005, p. 1047-1061
Stefanov, Plamen D.; Uhlmann, Gunther Article
Two dimensional compact simple Riemannian manifolds are boundary distance rigid
Annals of mathematics, v. 161, (2), 2005, p. 1093-1110
Pestov, Leonid N.; Uhlmann, Gunther Article

2004 13

Hyperbolic geometry and local Dirichlet-Neumann map
Advances in mathematics, v. 188, (2), 2004, p. 294-314
Isozaki, Hiroshi; Uhlmann, Gunther Article
Inverse problems for the Pauli Hamiltonian in two dimensions
The journal of fourier analysis and applications, v. 10, (2), 2004, p. 201-215
Kang, Hyeonbae; Uhlmann, Gunther Article
Inverse Problems in N-body scattering
Contemporary Mathematics, v.348, 2004, p. 135-154
Uhlmann, Gunther; Vasy, András Article
Inverse scattering problem in nuclear physics - Optical model
Journal of mathematical physics, v. 45, (7), 2004, p. 2613-2632
Isozaki, Hiroshi; Nakazawa, Hideo; Uhlmann, Gunther Article
Local uniqueness for the fixed energy fixed angle inverse problem in obstacle scattering
Proceedings of the American Mathematical Society, v. 132, (5), 2004, p. 1351-1354
Stefanov, Plamen D.; Uhlmann, Gunther Article
On characterization of the range and inversion formulas for the geodesic X-ray transform
International mathematics research notices, (80), 2004, p. 4331-4347
Pestov, Leonid N.; Uhlmann, Gunther Article
Reconstruction of the Potential from Partial Cauchy Data for the Schr?dinger Equation
Indiana University mathematics journal, v. 53, (1), 2004, p. 169-183
Ammari, Habib; Uhlmann, Gunther Article
Stability estimates for the X-ray transform of tensor fields and boundary rigidity
Duke mathematical journal, v. 123, (3), 2004, p. 445-467
Stefanov, Plamen D.; Uhlmann, Gunther Article
The boundary distance function and the Dirichlet-to-Neumann map
Mathematical research letters, v. 11, (2-3), 2004, p. 285-297
Pestov, Leonid N.; Uhlmann, Gunther Article
Unique continuation property for elliptic systems and crack determination in anisotropic elasticity
Contemporary Mathematics, v. 362, 2004, p, 321-338
Wang, Jenn-Nan; Nakamura, Gen; Uhlmann, Gunther Article
Geometric Methods in Inverse Problems and PDE Control
Geometric Methods in Inverse Problems and PDE Control (The IMA Volumes in Mathematics and its Applications, Vol. 137) / edited by Christopher B. Croke, Irena, Lasiecka, Gunther Uhlmann, Michael S. Vogelius. Springer-Verlag, 2004
Croke, Christopher B.; Lasiecka, Irena; Uhlmann, Gunther; Vogelius, Michael S. Book
Partial Differential Equations and Inverse Problems
Partial Differential Equations and Inverse Problems (Contemporary Mathematics. Volume: 362) / Edited by: Carlos Conca, Raúl Manásevich, Gunther Uhlmann, and Michael S. Vogelius. Providence: American Mathematical Society, 2004
Conca, Carlos; Manásevich, Raúl; Uhlmann, Gunther; Vogelius, Michael S. Book
On the Local Dirichlet-to-Neumann Map
New Analytic and Geometric Methods in Inverse Problems / Edited by K. Bingham, Ya. V. Kurylev and E. Somersalo. Berlin: Springer, 2004, p. 261-279
Uhlmann, Gunther Book chapter

2003 19

Anisotropic inverse problems in two dimensions
Inverse problems, v. 19, (5), 2003, p. 1001-1010
Sun, Ziqi; Uhlmann, Gunther Article
Boundary determination of a Riemannian metric by the localized boundary distance function
Advances in applied mathematics, v. 31, (2), 2003, p. 379-387
Uhlmann, Gunther; Wang, Jenn-Nan Article
Complex geometrical optics solutions for Lipschitz conductivities
Revista matemática iberoamericana, v. 19, (1), 2003, p. 57-72
P?iv?rinta, Lassi Juhani; Panchenko, Alexander; Uhlmann, Gunther Article
Geometrical optics for generic anisotropic materials
Contemporary Mathematics, v. 333, 2003, p. 177-185
Nolan, Clifford J.; Uhlmann, Gunther Article
Inverse problems in three-body scattering
Contemporary Mathematics, v. 333, 2003, p. 209-215
Uhlmann, Gunther; Vasy, András Article
On nonuniqueness for calderón's inverse problem
Mathematical research letters, v. 10, (5-6), 2003, p. 685-693
Greenleaf, Allan; Lassas, Matti; Uhlmann, Gunther Article
Optical tomography in two dimensions
Methods and Applications of Analysis, v. 10, (1), 2003, p. 1-10
Stefanov, Plamen D.; Uhlmann, Gunther Article
Propagation of polarization in elastodynamics with residual stress and travel times
Mathematische Annalen, v. 326, (3), 2003, p. 563-587
Hansen, S?nke; Uhlmann, Gunther Article
Reconstruction of cracks in an inhomogeneous anisotropic elastic medium
Journal de mathématiques pures et appliquées, v. 82, (10), 2003, p. 1251-1276
Nakamura, Gen; Uhlmann, Gunther; Wang, Jenn-Nan Article
Semiglobal boundary rigidity for Riemannian metrics
Mathematische Annalen, v. 325, (4), 2003, p. 767-793
Lassas, Matti; Sharafutdinov, Vladimir A.; Uhlmann, Gunther Article
The Calderón Problem for Conormal Potentials I: Global Uniqueness and Reconstruction
Communications on pure and applied mathematics, v. 56, (3), 2003, p. 328-352
Greenleaf, Allan; Lassas, Matti; Uhlmann, Gunther Article
The Dirichlet-to-Neumann map for complete Riemannian manifolds with boundary
Communications in analysis and geometry, v. 11, (2), 2003, p. 207-221
Lassas, Matti; Taylor, Michael E.; Uhlmann, Gunther Article
Inside Out: Inverse Problems and Applications
Inside Out: Inverse Problems and Applications (Mathematical Sciences Research Institute Publications: Book 47) / by edited by Gunther Uhlmann. Cambridge, United Kingdom, Cambridge University Press, 2003
Uhlmann, Gunther Book
Inverse Problems: Theory and Applications
Inverse Problems: Theory and Applications (Contemporary Mathematics, Volume: 333) / Giovanni Alessandrini and Gunther Uhlmann, Editors. Providence: American Mathematical Society, 2003
Uhlmann, Gunther; Alessandrini, Giovanni Book
Inverse boundary problems in two dimensions
Function Spaces, Differential Operators and Nonlinear Analysis: The Hans Triebel Anniversary Volume / Dorothee Haroske, Thomas Runst, Hans-Jürgen Schmeisser. Birkh?user Basel, Switzerland, 2003, p. 183-203
Uhlmann, Gunther Book chapter
Microlocal analysis of the X-ray transform with sources on a curve
Inside Out, Inverse Problems and Applications / Gunther Uhlmann. The Press Syndicate of the University of Cambridge, The Pitt Building, Trumpington Street, Cambridge, United Kingdom, 2003, p. 193-218
Lan, Ih-Ren; Finch, David V.; Uhlmann, Gunther Book chapter
The Cauchy data and the scattering relation
Geometric methods in inverse problems and PDE controI / v. 137, 2003, p. 263-288
Uhlmann, Gunther Book chapter
Anisotropic conductivities that cannot be detected by EIT
1st Mummy Range Workshop on Electrical Impedence Tomography, Colorado State Univ, FT Collins, Colorado, AUG 01-07, 2002, Physiological measurement, v. 24, (2), May 2003, p. 413-419
Greenleaf, Allan; Lassas, Matti; Uhlmann, Gunther Conference paper
The inverse kinematic problem in anisotropic media
Proceedings of The Sixth International Conference on Mathematical and Numerical Aspects of Wave Propagation, Jyv?skyl?, Finland, 30 June – 4 July 2003, Mathematical and Numerical Aspects of Wave Propagation, Waves 2003, 2003, p. 39-45
Uhlmann, Gunther Conference paper

2002 7

Fixed energy inverse problem for exponentially decreasing potentials
Methods and Applications of Analysis, v. 9, 2002, p. 239-247
Vasy, András; Uhlmann, Gunther Article
Low-energy inverse problems in three-body scattering
Inverse problems, v. 18, (3), 2002, p. 719-736
Uhlmann, Gunther; Vasy, András Article
Reconstruction of the memory from partial boundary measurements
Contemporary Mathematics, v. 307, 2002, p. 39-46
Bukhgeǐm, Alexander L.; Dyatlov, Gleb V.; Uhlmann, Gunther Article
Recovering a potential from partial Cauchy data
Communications in partial differential equations, v. 27, (3-4), 2002, p. 653-668
Bukhgeǐm, Alexander L.; Uhlmann, Gunther Article
Complex geometrical optics solutions and pseudoanalytic matrices
Journal of Ill-Posed and Inverse Problems / v. 10, 2002, 305–338.
Nakamura, Gen; Uhlmann, Gunther Book chapter
Scattering by a metric
Encyclopedia on Scattering / Edited by R. Pike, P. Sabatier. Academic Press, 2002, p. 1668-1677, Chapter 6.1.5
Uhlmann, Gunther Book chapter
Recovering acoustic and elastic parameters from travel times
ASME International Mechanical Engineering Congress and Exposition, Proceedings, 2002, p. 1-6
Uhlmann, Gunther; Hansen, S?nke Conference paper

2001 8

A time-dependent approach to the inverse backscattering problem
Inverse problems, v. 17, (4), 2001, p. 703-716
Uhlmann, Gunther Article
Characteristic space-time estimates for the wave equation
Mathematische Zeitschrift, v. 236, (1), 2001, p. 113-131
Greenleaf, Allan; Uhlmann, Gunther Article
Local uniqueness for the Dirichlet-to-Neumann map via the two-plane transform
Duke mathematical journal, v. 108, (3), 2001, p. 599-617
Greenleaf, Allan; Uhlmann, Gunther Article
On determining a Riemannian manifold from the Dirichlet-to-Neumann map
Annales scientifiques de l'Ecole normale supérieure, v. 34, (5), 2001, p. 771-787
Lassas, Matti; Uhlmann, Gunther Article
Recent progress in the anisotropic electrical impedance problem
Electronic Journal of Differential Equations (EJDE), Proc. of conferences, v. 6, 2001, p. 303-311
Uhlmann, Gunther Article
The x-ray transform for a non-Abelian connection in two dimensions
Inverse problems, v. 17, (4), 2001, p. 695-701
Finch, David V.; Uhlmann, Gunther Article
Travel time tomography
Journal of the Korean Mathematical Society, v. 38, (4), 2001, p. 711-722
Uhlmann, Gunther Article
Inverse scattering in anisotropic media
Surveys on Solution Methods for Inverse Problems / Edited by David Colton, Heinz W. Engl, Alfred Louis, Joyce R. McLaughlin, William Rundell, New York: Springer Vienna, 2001, p. 235-251
Uhlmann, Gunther Book chapter

2000 1

On deformation boundary rigidity and spectral rigidity of Riemannian surfaces with no focal points
Journal of differential geometry, v. 56, (1), 2000, p. 93-110
Sharafutdinov, Vladimir A.; Uhlmann, Gunther Article

1999 3

Inverse elastic scattering at a fixed energy
Journal of Inverse and Ill Posed Problems, v. 7, (3), 1999, p. 283-288
Nakamura, Gen; Uhlmann, Gunther Article
Layer stripping for a transversely isotropic elastic medium
SIAM journal on applied mathematics, v. 59, (5), 1999, p. 1879-1891
Nakamura, Gen; Tanuma, Kazumi; Uhlmann, Gunther Article
Developments in inverse problems since Calderon’s foundational paper
Harmonic Analysis and Partial Differential Equations in honor of Alberto P. Calderon / Edited by M. Christ, C. Kenig, C. Sadosky, U.S.: University of Chicago Press, 1999, p. 295–345, Chapter 19
Uhlmann, Gunther Book chapter

1998 4

Inverse Boundary Value Problems for Partial Differential Equations
Documenta Mathematica, Extra Volume ICM 98, v. III, 1998, 77–86
Uhlmann, Gunther Article
Rigidity for metrics with the same lengths of Geodesics
Mathematical research letters, v. 5, (1-2), 1998, p. 83-96
Stefanov, Plamen D.; Uhlmann, Gunther Article
Stability Estimates for the Hyperbolic Dirichlet to Neumann Map in Anisotropic Media
Journal of functional analysis, v. 154, (2), 1998, p. 330-358
Stefanov, Plamen D.; Uhlmann, Gunther Article
Uniqueness for a wave propagation inverse problem in a half-space
Inverse problems, v. 14, (3), 1998, p. 679-684
Lassas, Matti; Cheney, Margaret; Uhlmann, Gunther Article

1997 4

Inverse backscattering for the acoustic equation
SIAM journal on mathematical analysis, v. 28, (5), 1997, p. 1191-1204
Stefanov, Plamen D.; Uhlmann, Gunther Article
Inverse problems in quasilinear anisotropic media
American journal of mathematics, v. 119, (4), 1997, p. 771-797
Sun, Ziqi; Uhlmann, Gunther Article
Uniqueness in the inverse conductivity problem for nonsmooth conductivities in two dimensions
Communications in partial differential equations, v. 22, (5-6), 1997, p. 1009-1027
Brown, Russell M.; Uhlmann, Gunther Article
A layer stripping algorithm in elastic impedance tomography
IMA Volume 90 “Inverse Problems in Wave Propagation” / Edited by G. Chavent, G. Papanicolau, P. Sacks and W. Symes, New York: Springer, 1997, p. 375-384
Nakamura, Gen; Uhlmann, Gunther Book chapter

1996 2

Inverse problems in non-linear media
Journées équations aux dérivées partielles, Saint-Jean des Monts, v. XIV, 1996, p. 1–11
Sun, Ziqi; Uhlmann, Gunther Article
Inverse boundary value problems for elastic materials
Inverse Problems in Geophysical Applications (Proceedings in Applied Mathematics) /Edited by Heinz W. Engl, Alfred Karl Louis, William Rundell, Philadelphia, P.A.: SIAM, 1996, (197), p. 12–26
Uhlmann, Gunther Book chapter

1995 3

Global identifiability for an inverse problem for the Schr?dinger equation in a magnetic field
Mathematische Annalen, v. 303, (1), December 1995, p. 377-388
Nakamura, Gen; Sun, Ziqi; Uhlmann, Gunther Article
Inverse Problems at the Boundary for an Elastic Medium
SIAM journal on mathematical analysis, v. 26, (2), p. 263-279
Nakamura, Gen; Uhlmann, Gunther Article
Elastic impedance tomography
Proceedings of the 1995 ASME Design Engineering Technical Conference, Part C, Boston, MA, USA,17–20 September 1995, v. 84, (3), 1995, p. 987–992
Nakamura, Gen; Uhlmann, Gunther Conference paper

1994 3

Global uniqueness for an inverse boundary problem arising in elasticity
Inventiones mathematicae, v. 118, (1), 1994, p. 457-474
Nakamura, Gen; Uhlmann, Gunther Article
Inverse Boundary and Scattering Problems for an Elastic Medium
Proceedings of the Second International Symposium on Inverse Problems, Paris, France, 2-4 November 1994, Inverse Problems in Engineering Mechanics, 1994, p. 165-168
Nakamura, Gen; Uhlmann, Gunther Conference paper
The modified Radon transform of Lax and Phillips in scattering theory
Proceedings of the Conference: “75 Years of the Radon transform”, ERWIN SCHRODINGER INT INST MATH PHYS, VIENNA, AUSTRIA, AUG 31-SEP 04, 1992, v. 4, 1994, p. 161–166
Greenleaf, Allan; Uhlmann, Gunther Conference paper

1993 5

Identification of Lame parameters from boundary measurements
American journal of mathematics, v. 115, (5), October 1993, p. 1161-1187
Nakamura, Gen; Uhlmann, Gunther Article
Inverse boundary value problems for first order perturbations of the Laplacian
Lectures in Applied Mathematics, v. 30, 1993, p. 245–258
Uhlmann, Gunther Article
Inverse Scattering for Singular Potentials in Two Dimensions
Transactions of the American Mathematical Society, v. 338, (1), July 1993, p. 363-374
Sun, Ziqi; Uhlmann, Gunther Article
Recovering singularities of a potential from singularities of scattering data
Communications in Mathematical Physics, v. 157, (3), 1993, p. 549-572
Greenleaf, Allan; Uhlmann, Gunther Article
Recovery of singularities for formally determined inverse problems
Communications in Mathematical Physics, v. 153, (3), 1993, p. 431-445
Sun, Ziqi; Uhlmann, Gunther Article

1992 3

An inverse boundary value problem for Maxwell's equations
Archive for rational mechanics and analysis, v. 119, (1), 1992, p. 71-93
Sun, Ziqi; Uhlmann, Gunther Article
Inverse Boundary-Value-Problems and Applications
Astérisque, v. 207, 1992, p. 153-211
Uhlmann, Gunther Article
Microlocal analysis of the two-plane transform
Contemporary Mathematics, v. 140, 1992, p. 65–71
Greenleaf, Allan; Uhlmann, Gunther Article

1991 5

Composition of some singular Fourier integral operators and estimates for restricted x-ray transforms 2
Duke mathematical journal, v. 64, (3), December 1991, p. 415-444
Greenleaf, Allan; Uhlmann, Gunther Article
Generic uniqueness for an inverse boundary value problem
Duke Mathematical Journal, v. 62, (1), February 1991, p. 131-155
Sun, Ziqi; Uhlmann, Gunther Article
Inverse problems in anisotropic media
Contemporary Mathematics, v. 122, 1991, p. 105–117
Sylvester, John; Uhlmann, Gunther Article
Generic uniqueness for determined inverse problems in 2 dimensions
Proceedings of satellite conference on inverse problems in the engineering sciences, ICM-90, Kyoto, Japan, 1991, p. 145–152
Sun, Ziqi; Uhlmann, Gunther Conference paper
Uniqueness for Identifying Lamé Moduli by Dirichlet to Neumann Map
Proceedings of satellite conference on inverse problems in the engineering sciences, ICM-90, Kyoyo, Japan, 1991, p. 133–138
Nakamura, Gen; Uhlmann, Gunther Conference paper

1990 3

Composition of some singular Fourier integral operators and estimates for restricted X-ray transforms
Annales de l'institut Fourier, v. 40, (2), 1990, p. 443-466
Greenleaf, Allan; Uhlmann, Gunther Article
Estimates for singular radon transforms and pseudodifferential operators with singular symbols
Journal of functional analysis, v. 89, (1), 1990, p. 202-232
Greenleaf, Allan; Uhlmann, Gunther Article
Microlocal techniques in integral geometry
Contemporary Mathematics, v. 113, 1990, p. 121–135
Greenleaf, Allan; Uhlmann, Gunther Article

1989 3

Determining anisotropic real-analytic conductivities by boundary measurements
Communications on Pure and Applied Mathematics, v. 42, (8), December 1989, p. 1097-1112
Lee, John M.; Uhlmann, Gunther Article
Non-local inversion formulas for the X-ray transform
Duke Mathematical Journal, v. 58, (1), February 1989, p. 205-240
Greenleaf, Allan; Uhlmann, Gunther Article
The Dirichlet to Neumann map and applications
SIAM proceedings series list, Inverse Problems in Partial Differential Equations, Humboldt State University, Arcata, California, July 29–August 4 1989
Sylvester, John; Uhlmann, Gunther Conference paper

1988 4

An n-dimensional Borg-Levinson theorem
Communications in Mathematical Physics, v. 115, (4), 1988, p. 595-605
Nachman, Adrian I.; Sylvester, John; Uhlmann, Gunther Article
Inverse Boundary Value Problems
Lecture Notes in Mathematics, v. 1324, 1988, p. 320-328
Sylvester, John; Uhlmann, Gunther Article
Inverse Boundary-Value Problems at the Boundary - Continuous Dependence
Communications on pure and applied mathematics, v. 41, (2), March 1988, p. 197-219
Sylvester, John; Uhlmann, Gunther Article
Microlocal Analysis and Scattering theory
Partial Differential Operators: Proceedings of ELAM VIII, held in Rio de Janeiro, July 14-25, 1986 (Lecture Notes in Mathematics - 1324) / edited by by Fernando A. Cardoso, Djairo G. de Figueiredo, Rafael Iorio, Orlando Lopes. Berlin: Springer (1988) p. 320-328
Sylvester, John; Uhlmann, Gunther Conference paper

1987 2

A global uniqueness theorem for an inverse boundary value problem
Annals of Mathematics, v. 125, (1), 1987, p. 153-169
Sylvester, John; Uhlmann, Gunther Article
Remarks on an inverse boundary value problem
Proceedings Oberwolfach Conference on topics in Pseudo differential Operator, 2–8 February 1986, Lecture Notes in Mathematics, 1987, p. 430-441
Sylvester, John; Uhlmann, Gunther Conference paper

1986 3

A uniqueness theorem for an inverse boundary value problem in electrical prospection
Communications on Pure and Applied Mathematics, v. 39, (1), 1986, p. 91-112
Sylvester, John; Uhlmann, Gunther Article
Inverse Boundary Value Problems
Proceedings VIII ELAM, Rio de Janeiro, July 14–25 1986, Partial Differential Equations, Lecture Notes in Mathematics, v. 1324, 1988, p. 320–328
Sylvester, John; Uhlmann, Gunther Conference paper
Product type conormal distributions in scattering theory
Dynamical Systems and Partial Differential Equations: Proceedings of the VII ELAM (Escuela Latinoamericana de Matematicas VII, Universidad Simon Bolivar, Caracas, 16-27 Junio 1984) / Edited by Lara-Carrero, Lorenzo & Jorge Lewowicz. Baldwin City, KS: Michener & Rutledge Booksellers, Inc.1986, p. 155-160
Uhlmann, Gunther Conference paper

1985 3

Scattering by a potential
Lecture Notes in Spanish, Acta Cientifica Venezolana, v. 36, 1985, p. 1-18
Uhlmann, Gunther Article
A boundary canonical transformation for a class of operators with double characteristics
Proceedings of the First Chilean Symposium on Mathematics, Lecture Notes in Pure and Appl. Math., Universidad Técnica Federico Santa María, Analysis Geometry and Probability, , v. 93, 1985, p. 53–68
Uhlmann, Gunther Conference paper
A functional calculus for a class of pseudodifferential operators with singular symbols
Proceedings of the Symposium on Pseudodifferential Operators and Fourier Integral Operators with Applications to Partial Differential Equations, Notre Dame, Indiana, April 2-5, 1984, Proceedings of Symposia in Pure Mathematics, v. 43, 1985, p. 5-16
Antoniano, José L.; Uhlmann, Gunther Conference paper

1984 2

A sufficient condition for local solvability for a class of operators with double characteristics
American Journal of Mathematics, v. 106, (1), 1984, p. 187-217
Mendoza, Gerardo A.; Uhlmann, Gunther Article
Singular asymptotics approach to partial differential equations with isolated singularities in the coefficients
Bulletin of the American Mathematical Society, v. 11, (1), 1984, p. 172-176
Callias, Constantine J.; Uhlmann, Gunther Article

1983 1

A necessary condition for local solvability for a class of operators with double characteristics
Journal of functional analysis, v. 52, (2), 1983, p. 252-256
Mendoza, Gerardo A.; Uhlmann, Gunther Article

1982 1

Light intensity distribution in conical refraction
Communications on Pure and Applied Mathematics, v.35, (1), 1982, p. 69-80
Uhlmann, Gunther Article

1981 1

Oscillatory integrals with singular symbols
Duke Mathematical Journal, v. 48, (1), 1981, p. 251-267
Guillemin, Victor; Uhlmann, Gunther Article

1979 3

Lagrangian intersection and the Cauchy problem
Communications on Pure and Applied Mathematics, v.32, (4), 1979, p. 483-519
Melrose, Richard B.; Uhlmann, Gunther Article
Microlocal structure of involutive conical refraction
Duke Mathematical Journal, v. 46, (3), 1979, p. 571-582
Melrose, Richard B.; Uhlmann, Gunther Article
Parametrices for operators with multiple involutive characteristics
Communications in Partial Differential Equations, v. 4, (7), 1979, p. 739-767
Uhlmann, Gunther Article

1977 1

Pseudo-differential operators with involutive double characteristics
Communications in Partial Differential Equations, v. 2, (7), 1977, p. 713-779
Uhlmann, Gunther Article


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Article 8

Generic uniqueness and stability for the mixed ray transform
Transactions of the American Mathematical Society, v. 374, (9), September 2021, p. 6085-6144
De Hoop, Maarten V.; Saksala, Teemu; Uhlmann, Gunther Alberto Arancibia; Zhai, Jian
Inverse problems for the fractional-Laplacian with lower order non-local perturbations
Transactions of the American Mathematical Society, v. 374, (5), May 2021, p. 3053-3075
Bhattacharyya, Sombuddha; Ghosh, Tuhin; Uhlmann, Gunther Alberto Arancibia
Local and global boundary rigidity and the geodesic X-ray transform in the norma gauge
Annals of Mathematics, v. 194, (1), July 2021, p. 1-95
Stefanov, Plamen; Uhlmann, Gunther Alberto Arancibia; Vasy, Andras
On an inverse boundary value problem for a nonlinear elastic wave equation
Journal des Mathematiques Pures et Appliquees, v. 153, September 2021, p. 114-136
Uhlmann, Gunther Alberto Arancibia; Zhai, Jian
Reconstruction in the Calderón problem on conformally transversally anisotropic manifolds
Journal of Functional Analysis, v. 281, (9), November 2021, article number 109191
Feizmohammadi, Ali; Krupchyk, Katya; Oksanen, Lauri; Uhlmann, Gunther Alberto Arancibia
Reconstruction of the collision kernel in the nonlinear Boltzmann equation
SIAM Journal on Mathematical Analysis, v. 53, (1), February 2021, p. 1049-1069
Lai, Ru-Yu; Uhlmann, Gunther Alberto Arancibia; Yang, Yang
The Calderón Inverse Problem for Isotropic Quasilinear Conductivities
Advances In Mathematics, v. 391, 19 November 2021, article number 107956
Carstea, C?t?lin I.; Feizmohammadi, Ali; Kian, Yavar; Krupchyk, Katya; Uhlmann, Gunther Alberto Arancibia
Travel Time Tomography in Stationary Spacetimes
Journal of Geometric Analysis, 23 February 2021
Uhlmann, Gunther Alberto Arancibia; Yang, Yang; Zhou, Hanming


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Article 11

A remark on partial data inverse problems for semilinear elliptic equations
Proceedings of the American Mathematical Society, v. 148, (2), February 2020, p. 681-685
Krupchyk, Katya; Uhlmann, Gunther Alberto Arancibia
Convolutional neural networks in phase space and inverse problems
SIAM Journal on Applied Mathematics, v. 80, (6), December 2020, p. 2560-2585
Uhlmann, Gunther Alberto Arancibia; Wang, Yiran
Determination of Space-Time Structures from Gravitational Perturbations
Communications on Pure and Applied Mathematics, v. 73, (6), June 2020, p. 1315-1367
Uhlmann, Gunther Alberto Arancibia; Wang, Yiran
Inverse Problems for Nonlinear Hyperbolic Equations
Discrete and Continuous Dynamical Systems- Series A, v. 41, (1), January 2021, p. 455-469
Uhlmann, Gunther Alberto Arancibia; Zhai, Jian
Nonlinear interaction of waves in elastodynamics and an inverse problem
Mathematische Annalen, v. 376, (1-2), February 2020, p. 765-795
De Hoop, Maarten; Uhlmann, Gunther Alberto Arancibia; Wang, Yiran
Partial data inverse problems for semilinear elliptic equations with gradient nonlinearities
Mathematical Research Letters, v. 27, (6), 2020, p. 1801-1824
Krupchyk, Katya; Uhlmann, Gunther Alberto Arancibia
Recovery of discontinuous Lamé parameters from exterior Cauchy data
Communications in Partial Differential Equations, January 2021
Caday, Peter; de Hoop, Maarten V.; Katsnelson, Vitaly; Uhlmann, Gunther Alberto Arancibia
Recovery of Material Parameters in Transversely Isotropic Media
Archive for Rational Mechanics and Analysis, v. 235, (1), January 2020, p. 141-165
de Hoop, Maarten V.; Uhlmann, Gunther Alberto Arancibia; Vasy, András
The Calderón problem for the fractional Schr?dinger equation
Analysis and PDE, v. 13, (2), 2020, p. 455-475
Ghosh, Tuhin; Salo, Mikko; Uhlmann, Gunther
The Light Ray Transform on Lorentzian Manifolds
Communications in Mathematical Physics, 2020
Lassas, Matti; Oksanen, Lauri; Stefanov, Plamen; Uhlmann, Gunther Alberto Arancibia
Uniqueness and reconstruction for the fractional Calderón problem with a single measurement
Journal of Functional Analysis, v. 279, (1), July 2020, article number 108505
Ghosh, Tuhin; Rüland, Angkana; Salo, Mikko; Uhlmann, Gunther Alberto Arancibia


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Article 13

Inverse Problems for the Stationary Transport Equation in the Diffusion Scaling
SIAM Journal on Applied Mathematics, v. 79, (6), December 2019, p. 2340-2358
Lai, Ru-Yu; Li, Qin; Uhlmann, Gunther Alberto Arancibia
Inverting the local geodesic ray transform of higher rank tensors
Inverse Problems, v. 35, (11), October 2019, article number 115009
De Hoop, Maarten V.; Uhlmann, Gunther Alberto Arancibia; Zhai, Jian
Lens Rigidity for a Particle in a Yang-Mills Field
Communications in Mathematical Physics, v. 366, (2), March 2019, p. 681-707
Paternain, Gabriel P.; Uhlmann, Gunther Alberto Arancibia; Zhou, Hanming
Nonlinear Responses From The Interaction Of Two Progressing Waves At An Interface
Annales de l'Institut Henri Poincare (C) Analyse Non Lineaire, v. 36, (2), March - April 2019, p. 347-363
De Hoop, Maarten V.; Uhlmann, Gunther A.; Wang, Yiran
Numerical Inversion of Three-Dimensional Geodesic X-Ray Transform Arising from Travel Time Tomography
SIAM JOURNAL ON IMAGING SCIENCES, v. 12, (3), 2019, p. 1296-1323
Yeung, T. S. Au; Chung, Eric T.; Uhlmann, Gunther Alberto Arancibia
On an Inverse Boundary Problem Arising in Brain Imaging
Journal of Differential Equations, v. 267, (4), August 2019, p. 2471-2502
Deng, Youjun; Liu, Hongyu; Uhlmann, Gunther Alberto Arancibia
Reconstruction of Lorentzian Manifolds from Boundary Light Observation Sets
International Mathematics Research Notices, v. 2019, (22), November 2019, p. 6949-6987
Hintz, Peter; Uhlmann, Gunther Alberto Arancibia
Reconstruction of Piecewise Smooth Wave Speeds Using Multiple Scattering
Transactions of the American Mathematical Society, v. 372, (2), July 2019, p. 1213-1235
Caday, Peter; De Hoop, Maarten V.; Katsnelson, Vitaly; Uhlmann, Gunther Alberto Arancibia
Scattering Control for the Wave Equation with Unknown Wave Speed
Archive for Rational Mechanics and Analysis, v.231, (1), January 2019, p. 409-464
Caday, Peter; de Hoop, Maarten V.; Katsnelson, Vitaly; Uhlmann, Gunther Alberto Arancibia
Stability Estimates for Partial Data Inverse Problems for Schr?dinger Operators in the High Frequency Limit
Journal des Mathematiques Pures et Appliquees, v. 126, June 2019, p. 273-291
Krupchyk, Katya; Uhlmann, Gunther Alberto Arancibia
The geodesic X-ray transform with matrix weights
American Journal of Mathematics, v. 141, (6), December 2019, p. 1707-1750
Paternain, Gabriel P.; Salo, Mikko; Uhlmann, Gunther Alberto Arancibia; Zhou, Hanming
Travel Time Tomography
Acta Mathematica Sinica, English Series, v. 35, (6), June 2019, p. 1085-1114
Stefanov, Plamen D.; Uhlmann, Gunther Alberto Arancibia; Vasy, András; Zhou, Hanming
X-ray transform and boundary rigidity for asymptotically hyperbolic manifolds
Annales de l'Institut Fourier, v. 69, (7), 2019, p. 2857-2919
Graham, C.Robin; Guillarmou, Colin; Stefanov, Plamen; Uhlmann, Gunther Alberto Arancibia


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Article 9

Inverse problems for advection diffusion equations in admissible geometries
Communications in Partial Differential Equations, v. 43, (4), April 2018, p. 585-615
Krupchyk, Katya; Uhlmann, Gunther Alberto Arancibia
Inverse Problems for Magnetic Schr?dinger Operators in Transversally Anisotropic Geometries
Communications in Mathematical Physics, v. 361, (2), July 2018, p. 525-582
Krupchyk, Katya; Uhlmann, Gunther Alberto Arancibia
Inverse Problems for Semilinear Wave Equations on Lorentzian Manifolds
Communications in Mathematical Physics, v. 360, (2), June 2018, p. 555-609
Lassas, Matti; Uhlmann, Gunther Alberto Arancibia; Wang, Yiran
Inversion Formulas and Range Characterizations For The Attenuated Geodesic Ray Transform
Journal des Mathematiques Pures et Appliquees, v. 111, March 2018, p. 161-190
Assylbekov, Yernat M.; Monard, Francois; Uhlmann, Gunther Alberto Arancibia
Inverting the Local Geodesic X-ray Transform on Tensors
Journal d'Analyse Mathematique, v. 136, (1), October 2018, p. 151-208
Stefanov, Plamen; Uhlmann, Gunther; Vasy, András
Local Recovery of the Compressional and Shear Speeds from the Hyperbolic DN Map
Inverse Problems, v. 34, (1), January 2018, article number 014003
Stefanov, Plamen; Uhlmann, Gunther; Vasy, Andras
On The Microlocal Snalysis of The Geodesic X-ray Transform With Conjugate Points
Journal of Differential Geometry, v. 108, (3), March 2018, p. 459-494
Holman, Sean; Uhlmann, Gunther Alberto Arancibia
Quantitative Analysis of Metal Artifacts in X-ray Tomography
SIAM Journal on Mathematical Analysis, v. 50, (5), 2018, p. 4914-4936
Palacios, Benjamin; Uhlmann, Gunther Alberto Arancibia; Wang, Yiran
Tensor Tomography in Periodic Slabs
Journal of Functional Analysis, v. 275, (2), July 2018, p. 288-299
Ilmavirta, J.; Uhlmann, Gunther Alberto Arancibia


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Article 3

An Inverse Problem from Condensed Matter Physics
Inverse Problems, v. 33, (11), October 2017, article number 115011
Lai, Ruyu; Shankar, Ravi; Spirn, Daniel; Uhlmann, Gunther A.
Full and Partial Cloaking in Electromagnetic Scattering
Archive for Rational Mechanics and Analysis, v. 223, (1), January 2017, p. 265-299
Deng, Youjun; Liu, Hongyu; Uhlmann, Gunther A.
Reducing Streaking Artifacts in Quantitative Susceptibility Mapping
SIAM Journal on Imaging Sciences, v. 10, (4), 2017, p. 1921-1934
Palacios, Benjamin; Uhlmann, Gunther; Wang, Yiran


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Article 5

Boundary rigidity with partial data
Journal of the American Mathematical Society, v. 29, (2), 2016, p. 299-332
Stefanov, Plamen D.; Uhlmann, Gunther A.; Vasy, Andras
Local analytic regularity in the linearized calderón problem
Analysis & PDE, v. 9, (3), June 2016, p. 515-544
Sjostrand, Johannes; Uhlmann, Gunther
The Calderón Problem with Partial Data for Conductivities with 3/2 Derivatives
Communications in Mathematical Physics, v. 348, (1), November 2016, p. 185-219
Krupchyk, Katya; Uhlmann, Gunther
The inverse problem for the local geodesic ray transform
Inventiones Mathematicae, v. 205, (1), July 2016, p. 83-120
Uhlmann, Gunther; Vasy, Andras
The X-ray transform for connections in negative curvature
Communications in Mathematical Physics, v. 343, (1), April 2016, p. 83-127
Guillarmou, Colin; Paternain, Gabriel P.; Salo, Mikko; Uhlmann, Gunther


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Article 10

An inverse kinematic problem with internal sources
Inverse Problems, v. 31, (5), May 2015, article number 055006
Pestov, Leonid N.; Uhlmann, Gunther; Zhou, Hanming
Determining both sound speed and internal source in thermo-and photo-acoustic tomography
Inverse Problems, v. 31, (10), September 2015, article number 105005
Liu, Hongyu; Uhlmann, Gunther
Invariant distributions, Beurling transforms and tensor tomography in higher dimensions
Mathematische Annalen, v. 363, (1-2), October 2015, p. 305-362
Paternain, Gabriel P.; Salo, Mikko; Uhlmann, Gunther
On LpResolvent Estimates for Elliptic Operators on Compact Manifolds
Communications in Partial Differential Equations, v. 40, (3), March 2015, p. 438-474
Krupchyk, Katsiaryna; Uhlmann, Gunther
On the inverse problem of finding cosmic strings and other topological defects
Communications in Mathematical Physics, v. 357, (2), January 2018, p. 569-595
Lassas, Matti; Oksanen, Lauri; Stefanov, Plamen D.; Uhlmann, Gunther Alberto Arancibia
On the range of the attenuated ray transform for unitary connections
International Mathematics Research Notices, v. 2015, (4), 2015, p. 873-897
Paternain, Gabriel P.; Salo, Mikko; Uhlmann, Gunther
Reconstruction of a fully anisotropic elasticity tensor from knowledge of displacement fields
SIAM Journal on Applied Mathematics, v. 75, (5), 2015, p. 2214-2231
Bal, Guillaume P.; Monard, Fran?ois; Uhlmann, Gunther
Regularized Transformation-Optics Cloaking for the Helmholtz Equation: From Partial Cloak to Full Cloak
Communications in Mathematical Physics, v. 335, (2), 2015, p. 671-712
Li, Jingzhi; Liu, Hongyu; Rondi, Luca; Uhlmann, Gunther
The geodesic ray transform on Riemannian surfaces with conjugate points
Communications in Mathematical Physics, v. 337, (3), August 2015, p. 1491-1513
Monard, Fran?ois; Stefanov, Plamen D.; Uhlmann, Gunther
The Neumann-to-Dirichlet map in two dimensions
Advances in Mathematics, v. 281, August 2015, p. 578-593
Imanuvilov, Oleg Yu; Uhlmann, Gunther; Yamamoto, Masahiro


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Article 9

Inverse Boundary Value Problem for the Stokes and the Navier–Stokes Equations in the Plane
Archive for Rational Mechanics and Analysis, v. 215, (3), 2014, p. 811-829
Lai, Ruyu; Uhlmann, Gunther; Wang, Jenn-Nan
Inverse boundary value problems for the perturbed polyharmonic operator
Transactions of the American Mathematical Society, v. 366, (1), January 2014, p. 95-112
Krupchyk, Katsiaryna; Lassas, Matti; Uhlmann, Gunther
Inverse problems: seeing the unseen
Bulletin of Mathematical Sciences, v. 4, (2), January 2014, p. 209-279
Uhlmann, Gunther
Photoacoustic and thermoacoustic tomography with an uncertain wave speed
Mathematical Research Letters, v. 21, (5), 2014, p. 1199-1214
Oksanen, Lauri; Uhlmann, Gunther
Special Issue on Complex Geometrical Optics (CGO) Solutions FOREWORD
Inverse Problems and Imaging, v. 8, (4), November 2014, p. 1-2
Hamilton, Sarah; Knudsen, Kim; Siltanen, Samuli; Uhlmann, Gunther
Spectral rigidity and invariant distributions on anosov surfaces
Journal of Differential Geometry, v. 98, (1), 2014, p. 147-181
Paternain, Gabriel P.; Salo, Mikko; Uhlmann, Gunther
Tensor tomography: Progress and challenges
Chinese Annals of Mathematics. Series B, v. 35, (3), 2014, p. 399-428
Paternain, Gabriel P.; Salo, Mikko; Uhlmann, Gunther
Uniqueness for the inverse backscattering problem for angularly controlled potentials
Inverse Problems, v. 30, (6), 2014, article number 065005
Rakesh; Uhlmann, Gunther
Uniqueness in an Inverse Boundary Problem for a Magnetic Schr?dinger Operator with a Bounded Magnetic Potential
Communications in Mathematical Physics, v. 327, (3), 2014, p. 993-1009
Krupchyk, Katsiaryna; Uhlmann, Gunther


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Article 8

Increasing stability in an inverse problem for the acoustic equation
Inverse Problems, v. 29, (2), February 2013, article number 025012
Nagayasu, Sei; Uhlmann, Gunther; Wang, Jenn-Nan
Instability of the linearized problem in multiwave tomography of recovery both the source and the speed
Inverse Problems and Imaging, v. 7, (4), November 2013, p. 1367-1377
Stefanov, Plamen D.; Uhlmann, Gunther
Inverse Boundary Problems for Systems in Two Dimensions
Annales Henri Poincare, v. 14, (6), September 2013, p. 1551-1571
Albin, Pierre; Guillarmou, Colin; Tzou, Leo; Uhlmann, Gunther
Is a curved flight path in SAR better than a straight one?
SIAM Journal on Applied Mathematics, v. 73, (4), 2013, p. 1596-1612
Stefanov, Plamen D.; Uhlmann, Gunther
Multiscale discrete approximations of Fourier integral operators associated with canonical transformations and caustics
Multiscale Modeling and Simulation, v. 11, (2), 2013, p. 566-585
De Hoop, Maarten V.; Uhlmann, Gunther; Vasy, András; Wendt, Herwig
Reconstruction of coefficients in scalar second-order elliptic equations from knowledge of their solutions
Communications on Pure and Applied Mathematics, v. 66, (10), October 2013, p. 1629-1652
Bal, Guillaume P.; Uhlmann, Gunther
Recovery of a source term or a speed with one measurement and applications
Transactions of the American Mathematical Society, v. 365, (11), 2013, p. 5737-5758
Stefanov, Plamen D.; Uhlmann, Gunther
Tensor tomography on surfaces
Inventiones Mathematicae, v. 193, (1), July 2013, p. 229-247
Paternain, Gabriel P.; Salo, Mikko; Uhlmann, Gunther

Book 1

Inverse Problems and Applications: Inside Out II
Inverse Problems and Applications: Inside Out II (Mathematical Sciences Research Institute Publications: Book 60) / Edited by Gunther Uhlmann. Cambridge University Press, 2013
Uhlmann, Gunther

Book chapter 1

Multi-wave methods via ultrasound
Inverse Problems and Applications: Inside Out II / Edited by Gunther Uhlmann. Cambridge : Cambridge University Press, 2013, p. 271-323
Stefanov, Plamen D.; Uhlmann, Gunther


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Article 9

Cloaked electromagnetic, acoustic, and quantum amplifiers via transformation optics
Proceedings of the National Academy of Sciences of the United States of America, v. 109, (26), June 2012, p. 10169-10174
Greenleaf, Allan; Kurylev, Yaroslav V.; Lassas, Matti; Leónhardt, Ulf; Uhlmann, Gunther
Determining a first order perturbation of the biharmonic operator by partial boundary measurements
Journal of Functional Analysis, v. 262, (4), 2012, p. 1781–1801
Krupchyk, Katsiaryna; Lassas, Matti; Uhlmann, Gunther
Inverse Problems With Partial Data for a Magnetic Schr?dinger Operator in an Infinite Slab and on a Bounded Domain
Communications in Mathematical Physics, v. 312, (1), 2012, p. 87-126
Krupchyk, Katsiaryna; Lassas, Matti; Uhlmann, Gunther
On uniqueness of Lamé coefficients from partial Cauchy data in three dimensions
Inverse problems, v. 28, (12), November 2012, article number 125002
Imanuvilov, Oleg Yu; Uhlmann, Gunther; Yamamoto, Masahiro
Partial Cauchy data for general second order elliptic operators in two dimensions
Publications of the Research Institute for Mathematical Sciences, v. 48, (4), 2012, p. 971-1055
Imanuvilov, Oleg Yu; Uhlmann, Gunther; Yamamoto, Masahiro
Reconstructions for some coupled-physics inverse problems
Applied mathematics letters, v. 25, (7), 2012, p. 1030-1033
Bal, Guillaume P.; Uhlmann, Gunther
Regularity and multi-scale discretization of the solution construction of hyperbolic evolution equations with limited smoothness
Applied and computational harmonic analysis, v. 33, (3), 2012, p. 330-353
De Hoop, Maarten V.; Holman, Sean F.; Smith, Hart F.; Uhlmann, Gunther
The attenuated ray transform for connections and Higgs fields
Geometric and functional analysis, v. 22, (5), 2012, p. 1460-1489
Paternain, Gabriel P.; Salo, Mikko; Uhlmann, Gunther
The geodesic x-ray transform with fold caustics
Analysis & PDE, v. 5, (2), 2012, p. 219-260
Stefanov, Plamen D.; Uhlmann, Gunther


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Article 20

An adaptive phase space method with application to reflection traveltime tomography
Inverse problems, v. 27, (11), 2011, article number 115002
Chung, Eric; Qian, Jianliang; Uhlmann, Gunther; Zhao, Hongkai
An efficient neumann series-based algorithm for thermoacoustic and photoacoustic tomography with variable sound speed
SIAM journal on imaging sciences, v. 4, (3), 2011, p. 850-883
Qian, Jianliang; Stefanov, Plamen D.; Uhlmann, Gunther; Zhao, Hongkai
Approximate quantum and acoustic cloaking
Journal of Spectral Theory, v. 1, (1), 2011, p. 27-80
Greenleaf, Allan; Kurylev, Yaroslav V.; Lassas, Matti; Uhlmann, Gunther
Asymptotic behavior of solutions of the stationary Navier-Stokes equations in an exterior domain
Indiana University mathematics journal, v. 60, (6), 2011, p. 2093-2106
Lin, Ching-Lung; Uhlmann, Gunther; Wang, Jenn-Nan
Calderon's paper "On an inverse boundary value problem"
Revista matemática iberoamericana, 2011, p. 297+
Uhlmann, Gunther
Cloaking a sensor for three-dimensional Maxwell's equations: Transformation optics approach
Optics express, v. 19, (21), 2011, p. 20518-20530
Chen, Xudong; Uhlmann, Gunther
Cloaking a sensor via transformation optics
Physical Review E, v. 83, (1), January 2011, article number 016603
Greenleaf, Allan; Kurylev, Yaroslav V.; Lassas, Matti; Uhlmann, Gunther
Decoupling of modes for the elastic wave equation in media of limited smoothness
Communications in partial differential equations, v. 36, (10), 2011, p. 1683-1693
Brytik, Valeriy; De Hoop, Maarten V.; Smith, Hart F.; Uhlmann, Gunther
Determination of second-order elliptic operators in two dimensions from partial Cauchy data
Proceedings of the National Academy of Sciences of the United States of America, v. 108, (2), January 2011, p. 467-472
Imanuvilov, Oleg Yu; Uhlmann, Gunther; Yamamoto, Masahiro
Inverse boundary value problem by measuring Dirichlet data and Neumann data on disjoint sets
Inverse problems, v. 27, (8), 2011, article number 085007
Imanuvilov, Oleg Yu; Uhlmann, Gunther; Yamamoto, Masahiro
Inverse problems for differential forms on riemannian manifolds with boundary
Communications in partial differential equations, v. 36, (8), 2011, p. 1475-1509
Krupchyk, Katsiaryna; Lassas, Matti; Uhlmann, Gunther
Inverse problems for the anisotropic maxwell equations
Duke mathematical journal, v. 157, (2), 2011, p. 369-419
Kenig, Carlos E.; Salo, Mikko; Uhlmann, Gunther
Polarization-invariant directional cloaking by transformation optics
Progress In Electromagnetics Research, v. 118, 2011, p. 415-423
Agarwal, Krishna; Chen, Xudong; Hu, Li; Liu, Hongyu; Uhlmann, Gunther
Quantitative strong unique continuation for the Lamé system with less regular coefficients
Methods and Applications of Analysis, v. 18, (1), 2011, p. 85-92
Uhlmann, Gunther; Lin, Ching-Lung; Nakamura, Gen; Wang, Jenn-Nan
Quantitative thermo-acoustics and related problems
Inverse problems, v. 27, (5), 2011, article number 055007
Bal, Guillaume P.; Ren, Kui; Uhlmann, Gunther; Zhou, Ting
Reconstruction of penetrable obstacles in acoustic scattering
SIAM journal on mathematical analysis, v. 43, (1), 2011, p. 189-211
Nagayasu, Sei; Uhlmann, Gunther; Wang, Jenn-Nan
Reconstructions from boundary measurements on admissible manifolds
Inverse problems and imaging, v. 5, (4), 2011, p. 859-877
Kenig, Carlos E.; Salo, Mikko; Uhlmann, Gunther
The attenuated ray transform on simple surfaces
Journal of differential geometry, v. 88, (1), 2011, p. 161-187
Salo, Mikko; Uhlmann, Gunther
Thermoacoustic tomography arising in brain imaging
Inverse problems, v. 27, (4), 2011, article number 045004
Stefanov, Plamen D.; Uhlmann, Gunther
Universal multi-scale computations of Fourier integral operators for coherent imaging in caustics
SEG technical program expanded abstracts, v. 30, (1), 2011, p. 2936-2940
Wendt, Herwig; De Hoop, Maarten V.; Uhlmann, Gunther; Vasy, András

Book 1

Tomography and Inverse Transport Theory
Tomography and Inverse Transport Theory, Contemporary Mathematics vol. 559 / Guillaume Bal, Peter Kuchment, Plamen Stefanov, Gunther Uhlmann. AMS, 2011
Bal, Guillaume P.; Kuchment, Peter; Stefanov, Plamen D.; Schotland, John; Uhlmann, Gunther

Book chapter 1

Wave Phenomena
Handbook of Mathematical Methods in Imaging / Otmar Schetzer editor. New York: Springer-Verlag, 2011, p. 867-909
Lassas, Matti; Salo, Mikko; Uhlmann, Gunther


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Article 8

Inverse diffusion theory of photoacoustics
Inverse problems, v. 26, (8), August 2010, article Number: 085010
Bal, Guillaume P.; Uhlmann, Gunther
Inverse problems with partial data in a slab
Inverse problems and imaging, v. 4, (3), 2010, p. 449-462
Li, Xiaosheng; Uhlmann, Gunther
Inverse scattering for the magnetic Schr?dinger operator
Journal of functional analysis, v. 259, (7), 2010, p. 1771-1798
P?iv?rinta, Lassi Juhani; Salo, Mikko; Uhlmann, Gunther
Methods and Applications of Analysis: Preface
Methods and Applications of Analysis, v. 17, no. 4 (Dec 2010) p. i-ii
Uhlmann, G.; Chung, Tsz Shun; Yamamoto, Masahiro; Zou, Jun
Optimal three-ball inequalities and quantitative uniqueness for the Stokes system
Discrete and continuous dynamical systems, v. 28, (3), 2010, p. 1273-1290
Lin, Ching-Lung; Uhlmann, Gunther; Wang, Jenn-Nan
Reconstructing the metric and magnetic field from the scattering relation
Inverse problems and imaging, v. 4, (3), 2010, p. 397-409
Dairbekov, Nurlan S.; Uhlmann, Gunther
Rigidity of broken geodesic flow and inverse problems
American journal of mathematics, v. 132, (2), 2010, p. 529-562
Kurylev, Yaroslav V.; Lassas, Matti; Uhlmann, Gunther
The calderón problem with partial data in two dimensions
Journal of the American Mathematical Society, v. 23, (3), 2010, p. 655-691
Imanuvilov, Oleg Yu; Uhlmann, Gunther; Yamamoto, Masahiro


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Article 12

A depth-dependent stability estimate in electrical impedance tomography
Inverse problems, v. 25, (7), 2009, article number 075001
Nagayasu, Sei; Uhlmann, Gunther; Wang, Jenn-Nan
Cloaking devices, electromagnetic wormholes, and transformation optics
SIAM review, v. 51, (1), 2009, p. 3-33
Greenleaf, Allan; Kurylev, Yaroslav V.; Lassas, Matti; Uhlmann, Gunther
Electrical impedance tomography and Calderón's problem
Inverse problems, v. 25, (12), 2009, article number 123011
Uhlmann, Gunther
Invisibility and inverse problems
Bulletin of the American Mathematical Society, v. 46, (1), 2009, p. 55-97
Greenleaf, Allan; Kurylev, Yaroslav V.; Lassas, Matti; Uhlmann, Gunther
Limiting Carleman weights and anisotropic inverse problems
Inventiones mathematicae, v. 178, (1), 2009, p. 119-171
Ferreira, David Dos Santos; Kenig, Carlos E.; Salo, Mikko; Uhlmann, Gunther
Linearizing non-linear inverse problems and an application to inverse backscattering
Journal of functional analysis, v. 256, (9), 2009, p. 2842-2866
Stefanov, Plamen D.; Uhlmann, Gunther
Local lens rigidity with incomplete data for a class of non-simple riemannian manifolds
Journal of differential geometry, v. 82, (2), 2009, p. 383-409
Stefanov, Plamen D.; Uhlmann, Gunther
On the linearized local calderón problem
Mathematical research letters, v. 16, (6), 2009, p. 955-970
Ferreira, David Dos Santos; Kenig, Carlos E.; Sj?strand, Johannes; Uhlmann, Gunther
Reconstruction of inclusions in an elastic body
Journal de mathématiques pures et appliquées, v. 91, (6), 2009, p. 569-582
Uhlmann, Gunther; Wang, Jenn-Nan; Wu, Chintien
Seismic imaging with the generalized Radon transform: A curvelet transform perspective
Inverse problems, v. 25, (2), 2009, article number 025005
De Hoop, Maarten V.; Smith, Hart F.; Uhlmann, Gunther; Van Der Hilst, Robert D.
Thermoacoustic tomography with variable sound speed
Inverse problems, v. 25, (7), 2009, article number 075011
Stefanov, Plamen D.; Uhlmann, Gunther
Unique Continuation Property for the Elasticity with General Residual Stress
Inverse problems and imaging, v. 3, (2), May 2009, p. 309-317
Uhlmann, Gunther; Wang, Jenn-Nan

Conference paper 1

Visibility and invisibility
ICIAM 07: 6th International Congress on Industrial and Applied Mathematics, Zürich, Switzerland, 16-20 July 2007, 2009, p. 381-408
Uhlmann, Gunther


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Article 10

A multi-scale approach to hyperbolic evolution equations with limited smoothness
Communications in partial differential equations, v. 33, (6), 2008, p. 988-1017
Andersson, Fredrik N.G.; De Hoop, Maarten V.; Smith, Hart F.; Uhlmann, Gunther
An Inverse Source Problem in Optical Molecular Imaging
Analysis & PDE, v. 1, (1), 2008, p. 115-126
Stefanov, Plamen D.; Uhlmann, Gunther
Approximate Quantum Cloaking and Almost-Trapped States
Physical Review Letters, v. 101, (22), November 2008, Article number 220404
Greenleaf, Allan; Kurylev, Yaroslav; Lassas, Matti; Uhlmann, Gunther
Complex geometrical optics solutions for anisotropic equations and applications
Journal of inverse and III-posed problems, v. 16, (8), 2008, p. 791-804
Takuwa, H.; Uhlmann, Gunther; Wang, Jenn-Nan
Electromagnetic wormholes via handlebody constructions
Communications in Mathematical Physics, v. 281, (2), 2008, p. 369-385
Greenleaf, Allan; Kurylev, Yaroslav V.; Lassas, Matti; Uhlmann, Gunther
Generalized backscattering and the Lax-Phillips transform
Serdica Mathematical Journal, v. 34, 2008, p. 1026-1044
Melrose, Richard B.; Uhlmann, Gunther
Integral geometry of tensor fields on a class of non-simple Riemannian manifolds
American journal of mathematics, v. 130, (1), 2008, p. 239-268
Stefanov, Plamen D.; Uhlmann, Gunther
Isotropie transformation optics: Approximate acoustic and quantum cloaking
New journal of physics, v. 10, 2008, article number 115024
Greenleaf, Allan; Kurylev, Yaroslav V.; Lassas, Matti; Uhlmann, Gunther
Reconstructing discontinuities using complex geometrical optics solutions
SIAM journal on applied mathematics, v. 68, (4), 2008, p. 1026-1044
Uhlmann, Gunther; Wang, Jenn-Nan
The X-ray transform for a generic family of curves and weights
Journal of geometric analysis, v. 18, (1), 2008, p. 89-108
Frigyik, Béla András; Stefanov, Plamen D.; Uhlmann, Gunther

Book chapter 2

Boundary and lens rigidity, tensor tomography and analytic microlocal analysis
Algebraic Analysis of Differential Equations / Fetschrift in Honor of Takahiro Kawai, edited by T. Aoki, H. Majima, Y. Katei and N. Tose, 2008, p. 275-293
Stefanov, Plamen D.; Uhlmann, Gunther
Commentary on Calderón's paper (29), On an inverse boundary value problem
Selected Papers of Alberto P. Calderón with Commentary / Edited by Alexandra Bellow, Carlos E. Kenig and Paul Malliavin. American Mathematical Society, Rhode Island, United States, 2008, p. 623-636
Uhlmann, Gunther

Conference paper 1

A phase-space formulation for elastic-wave traveltime tomography
4th Applied Inverse Problems International Conference, AIP 2007 and the 1st Congress of the Inverse Problems International Association, IPIA 2007, Vancouver, BC, Canada, 25-29 June 2007, Journal of physics. Conference series, v. 124, (1), 2008, article number 012018
Chung, Eric; Qian, Jianliang; Uhlmann, Gunther; Zhao, Hongkai


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Article 13

A new phase space method for recovering index of refraction from travel times
Inverse problems, v. 23, (1), February 2007, p. 309-329
Chung, Eric; Qian, Jianliang; Uhlmann, Gunther; Zhao, Hongkai
Complex spherical waves for the elasticity system and probing of inclusions
SIAM journal on mathematical analysis, v. 38, (6), 2007, p. 1967-1980
Uhlmann, Gunther; Wang, Jenn-Nan
Determining a magnetic Schr?dinger operator from partial cauchy data
Communications in Mathematical Physics, v. 271, (2), 2007, p. 467-488
Ferreira, David Dos Santos; Kenig, Carlos E.; Sj?strand, Johannes; Uhlmann, Gunther
Electromagnetic Wormholes and Virtual Magnetic Monopoles from Metamaterials
Physical Review Letters, v. 99, (18), November 2007, article number 183901
Greenleaf, Allan; Kurylev, Yaroslav; Lassas, Matti; Uhlmann, Gunther
Full-wave invisibility of active devices at all frequencies
Communications in Mathematical Physics, v. 275, (3), 2007, p. 749-789
Greenleaf, Allan; Kurylev, Yaroslav V.; Lassas, Matti; Uhlmann, Gunther
Improvement of cylindrical cloaking with the SHS lining
Optics express, v. 15, (20), 2007, p. 12717-12734
Greenleaf, Allan; Kurylev, Yaroslav V.; Lassas, Matti; Uhlmann, Gunther
Parametrices for symmetric systems with multiplicity
Wave motion, v. 44, (4), 2007, p. 231-247
Nolan, Clifford J.; Uhlmann, Gunther
Probing for electrical inclusions with complex spherical waves
Communications on pure and applied mathematics, v. 60, (10), 2007, p. 1415-1442
Ide, Takanori; Isozaki, Hiroshi; Nakata, Susumu; Siltanen, Samuli; Uhlmann, Gunther
Reconstruction of obstacles immersed in an incompressible fluid
Inverse problems and imaging, v. 1, (1), February 2007, p. 63-76
Heck, Horst; Uhlmann, Gunther; Wang, Jenn-Nan
The boundary rigidity problem in the presence of a magnetic field
Advances in mathematics, v. 216, (2), 2007, p. 535-609
Dairbekov, Nurlan S.; Paternain, Gabriel P.; Stefanov, Plamen D.; Uhlmann, Gunther
The Calderón problem for partial cauchy data
Annals of Math., v. 22, 2007, p. 431-445
Kenig, Carlos E.; Sj?strand, Johannes; Uhlmann, Gunther
The Calderón problem with partial data
Annals of mathematics, v. 165, (2), 2007, p. 567-591
Kenig, Carlos E.; Sj?strand, Johannes; Uhlmann, Gunther
Unique continuation for hyperbolic equations with memory
Journal of inverse and III-posed problems, v. 15, (6), 2007, p. 587-598
Bukhgeǐm, Alexander L.; Dyatlov, Gleb V.; Uhlmann, Gunther

Conference paper 1

Inverse problems, invisibility, and artificial wormholes
Journal of Physics: Conference Series, v. 124, 2008, article number 012005
Greenleaf, Allan; Kurylev, Yaroslav V.; Lassas, Matti; Uhlmann, Gunther


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Article 1

Characterization and 'source-receiver' continuation of seismic reflection data
Communications in Mathematical Physics, v. 263, (1), 2006, p. 1-19
De Hoop, Maarten V.; Uhlmann, Gunther

Conference paper 4

Inverse problems and Applications
Special issue of Computational and Applied Mathematics, v. 25, (2-3), 2006, Petr ?opolis.
Menzala, G. Perla; Uhlmann, Gunther
Oscillating-Decaying Solutions for Elliptic Systems
Workshop on Inverse Problems, Multi-Scale Analysis and Homogenization, Seoul Natl Univ, Seoul, South Korea, JUN 22-24, 2005, Contemporary Mathematics, v. 408, 2006, p. 219-230
Nakamura, Gen; Uhlmann, Gunther; Wang, Jenn-Nan
Reconstruction of discontinuities in systems
Journal of Physics: Conference Series, v. 73, June 2007, article number 012024
Uhlmann, Gunther; Wang, Jenn-Nan
The scattering relation and the Dirichlet-to-Neumann map
10th International Conference on Differential Equations and Mathematical Physics, Univ Alabama, Birmingham, Birmingham, AL, MAR 29-APR 02, 2005, RECENT ADVANCES IN DIFFERENTIAL EQUATIONS AND MATHEMATICAL PHYSICS, Contemporary mathematics, v. 412, 2006, p. 249-262
Pestov, Leonid N.; Uhlmann, Gunther


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Article 7

Boundary rigidity and stability for generic simple metrics
Journal of the American Mathematical Society, v. 18, (4), 2005, p. 975-1003
Stefanov, Plamen D.; Uhlmann, Gunther
Oscillating-decaying solutions, Runge approximation property for the anisotropic elasticity system and their applications to inverse problems
Journal de mathématiques pures et appliquées, v. 84, (1), 2005, p. 21-54
Nakamura, Gen; Uhlmann, Gunther; Wang, Jenn-Nan
Recent Progress on the Boundary Rigidity Problem
Electronic Research Announcements of the American Mathematical Society, v. 11, 2005, p. 64-70
Stefanov, Plamen D.; Uhlmann, Gunther
Reconstruction of cracks in an inhomogeneous anisotropic medium using point sources
Advances in applied mathematics, v. 34, (3), 2005, p. 591-615
Nakamura, Gen; Uhlmann, Gunther; Wang, Jenn-Nan
Regularity of ghosts in tensor tomography
Journal of geometric analysis, v. 15, (3), 2005, p. 499-542
Sharafutdinov, Vladimir A.; Skokan, Michal; Uhlmann, Gunther
Stable determination of generic simple metrics from the hyperbolic Dirichlet-to-Neumann map
International mathematics research notices, (17), 2005, p. 1047-1061
Stefanov, Plamen D.; Uhlmann, Gunther
Two dimensional compact simple Riemannian manifolds are boundary distance rigid
Annals of mathematics, v. 161, (2), 2005, p. 1093-1110
Pestov, Leonid N.; Uhlmann, Gunther


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Article 10

Hyperbolic geometry and local Dirichlet-Neumann map
Advances in mathematics, v. 188, (2), 2004, p. 294-314
Isozaki, Hiroshi; Uhlmann, Gunther
Inverse problems for the Pauli Hamiltonian in two dimensions
The journal of fourier analysis and applications, v. 10, (2), 2004, p. 201-215
Kang, Hyeonbae; Uhlmann, Gunther
Inverse Problems in N-body scattering
Contemporary Mathematics, v.348, 2004, p. 135-154
Uhlmann, Gunther; Vasy, András
Inverse scattering problem in nuclear physics - Optical model
Journal of mathematical physics, v. 45, (7), 2004, p. 2613-2632
Isozaki, Hiroshi; Nakazawa, Hideo; Uhlmann, Gunther
Local uniqueness for the fixed energy fixed angle inverse problem in obstacle scattering
Proceedings of the American Mathematical Society, v. 132, (5), 2004, p. 1351-1354
Stefanov, Plamen D.; Uhlmann, Gunther
On characterization of the range and inversion formulas for the geodesic X-ray transform
International mathematics research notices, (80), 2004, p. 4331-4347
Pestov, Leonid N.; Uhlmann, Gunther
Reconstruction of the Potential from Partial Cauchy Data for the Schr?dinger Equation
Indiana University mathematics journal, v. 53, (1), 2004, p. 169-183
Ammari, Habib; Uhlmann, Gunther
Stability estimates for the X-ray transform of tensor fields and boundary rigidity
Duke mathematical journal, v. 123, (3), 2004, p. 445-467
Stefanov, Plamen D.; Uhlmann, Gunther
The boundary distance function and the Dirichlet-to-Neumann map
Mathematical research letters, v. 11, (2-3), 2004, p. 285-297
Pestov, Leonid N.; Uhlmann, Gunther
Unique continuation property for elliptic systems and crack determination in anisotropic elasticity
Contemporary Mathematics, v. 362, 2004, p, 321-338
Wang, Jenn-Nan; Nakamura, Gen; Uhlmann, Gunther

Book 2

Geometric Methods in Inverse Problems and PDE Control
Geometric Methods in Inverse Problems and PDE Control (The IMA Volumes in Mathematics and its Applications, Vol. 137) / edited by Christopher B. Croke, Irena, Lasiecka, Gunther Uhlmann, Michael S. Vogelius. Springer-Verlag, 2004
Croke, Christopher B.; Lasiecka, Irena; Uhlmann, Gunther; Vogelius, Michael S.
Partial Differential Equations and Inverse Problems
Partial Differential Equations and Inverse Problems (Contemporary Mathematics. Volume: 362) / Edited by: Carlos Conca, Raúl Manásevich, Gunther Uhlmann, and Michael S. Vogelius. Providence: American Mathematical Society, 2004
Conca, Carlos; Manásevich, Raúl; Uhlmann, Gunther; Vogelius, Michael S.

Book chapter 1

On the Local Dirichlet-to-Neumann Map
New Analytic and Geometric Methods in Inverse Problems / Edited by K. Bingham, Ya. V. Kurylev and E. Somersalo. Berlin: Springer, 2004, p. 261-279
Uhlmann, Gunther


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Article 12

Anisotropic inverse problems in two dimensions
Inverse problems, v. 19, (5), 2003, p. 1001-1010
Sun, Ziqi; Uhlmann, Gunther
Boundary determination of a Riemannian metric by the localized boundary distance function
Advances in applied mathematics, v. 31, (2), 2003, p. 379-387
Uhlmann, Gunther; Wang, Jenn-Nan
Complex geometrical optics solutions for Lipschitz conductivities
Revista matemática iberoamericana, v. 19, (1), 2003, p. 57-72
P?iv?rinta, Lassi Juhani; Panchenko, Alexander; Uhlmann, Gunther
Geometrical optics for generic anisotropic materials
Contemporary Mathematics, v. 333, 2003, p. 177-185
Nolan, Clifford J.; Uhlmann, Gunther
Inverse problems in three-body scattering
Contemporary Mathematics, v. 333, 2003, p. 209-215
Uhlmann, Gunther; Vasy, András
On nonuniqueness for calderón's inverse problem
Mathematical research letters, v. 10, (5-6), 2003, p. 685-693
Greenleaf, Allan; Lassas, Matti; Uhlmann, Gunther
Optical tomography in two dimensions
Methods and Applications of Analysis, v. 10, (1), 2003, p. 1-10
Stefanov, Plamen D.; Uhlmann, Gunther
Propagation of polarization in elastodynamics with residual stress and travel times
Mathematische Annalen, v. 326, (3), 2003, p. 563-587
Hansen, S?nke; Uhlmann, Gunther
Reconstruction of cracks in an inhomogeneous anisotropic elastic medium
Journal de mathématiques pures et appliquées, v. 82, (10), 2003, p. 1251-1276
Nakamura, Gen; Uhlmann, Gunther; Wang, Jenn-Nan
Semiglobal boundary rigidity for Riemannian metrics
Mathematische Annalen, v. 325, (4), 2003, p. 767-793
Lassas, Matti; Sharafutdinov, Vladimir A.; Uhlmann, Gunther
The Calderón Problem for Conormal Potentials I: Global Uniqueness and Reconstruction
Communications on pure and applied mathematics, v. 56, (3), 2003, p. 328-352
Greenleaf, Allan; Lassas, Matti; Uhlmann, Gunther
The Dirichlet-to-Neumann map for complete Riemannian manifolds with boundary
Communications in analysis and geometry, v. 11, (2), 2003, p. 207-221
Lassas, Matti; Taylor, Michael E.; Uhlmann, Gunther

Book 2

Inside Out: Inverse Problems and Applications
Inside Out: Inverse Problems and Applications (Mathematical Sciences Research Institute Publications: Book 47) / by edited by Gunther Uhlmann. Cambridge, United Kingdom, Cambridge University Press, 2003
Uhlmann, Gunther
Inverse Problems: Theory and Applications
Inverse Problems: Theory and Applications (Contemporary Mathematics, Volume: 333) / Giovanni Alessandrini and Gunther Uhlmann, Editors. Providence: American Mathematical Society, 2003
Uhlmann, Gunther; Alessandrini, Giovanni

Book chapter 3

Inverse boundary problems in two dimensions
Function Spaces, Differential Operators and Nonlinear Analysis: The Hans Triebel Anniversary Volume / Dorothee Haroske, Thomas Runst, Hans-Jürgen Schmeisser. Birkh?user Basel, Switzerland, 2003, p. 183-203
Uhlmann, Gunther
Microlocal analysis of the X-ray transform with sources on a curve
Inside Out, Inverse Problems and Applications / Gunther Uhlmann. The Press Syndicate of the University of Cambridge, The Pitt Building, Trumpington Street, Cambridge, United Kingdom, 2003, p. 193-218
Lan, Ih-Ren; Finch, David V.; Uhlmann, Gunther
The Cauchy data and the scattering relation
Geometric methods in inverse problems and PDE controI / v. 137, 2003, p. 263-288
Uhlmann, Gunther

Conference paper 2

Anisotropic conductivities that cannot be detected by EIT
1st Mummy Range Workshop on Electrical Impedence Tomography, Colorado State Univ, FT Collins, Colorado, AUG 01-07, 2002, Physiological measurement, v. 24, (2), May 2003, p. 413-419
Greenleaf, Allan; Lassas, Matti; Uhlmann, Gunther
The inverse kinematic problem in anisotropic media
Proceedings of The Sixth International Conference on Mathematical and Numerical Aspects of Wave Propagation, Jyv?skyl?, Finland, 30 June – 4 July 2003, Mathematical and Numerical Aspects of Wave Propagation, Waves 2003, 2003, p. 39-45
Uhlmann, Gunther


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Article 4

Fixed energy inverse problem for exponentially decreasing potentials
Methods and Applications of Analysis, v. 9, 2002, p. 239-247
Vasy, András; Uhlmann, Gunther
Low-energy inverse problems in three-body scattering
Inverse problems, v. 18, (3), 2002, p. 719-736
Uhlmann, Gunther; Vasy, András
Reconstruction of the memory from partial boundary measurements
Contemporary Mathematics, v. 307, 2002, p. 39-46
Bukhgeǐm, Alexander L.; Dyatlov, Gleb V.; Uhlmann, Gunther
Recovering a potential from partial Cauchy data
Communications in partial differential equations, v. 27, (3-4), 2002, p. 653-668
Bukhgeǐm, Alexander L.; Uhlmann, Gunther

Book chapter 2

Complex geometrical optics solutions and pseudoanalytic matrices
Journal of Ill-Posed and Inverse Problems / v. 10, 2002, 305–338.
Nakamura, Gen; Uhlmann, Gunther
Scattering by a metric
Encyclopedia on Scattering / Edited by R. Pike, P. Sabatier. Academic Press, 2002, p. 1668-1677, Chapter 6.1.5
Uhlmann, Gunther

Conference paper 1

Recovering acoustic and elastic parameters from travel times
ASME International Mechanical Engineering Congress and Exposition, Proceedings, 2002, p. 1-6
Uhlmann, Gunther; Hansen, S?nke


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Article 7

A time-dependent approach to the inverse backscattering problem
Inverse problems, v. 17, (4), 2001, p. 703-716
Uhlmann, Gunther
Characteristic space-time estimates for the wave equation
Mathematische Zeitschrift, v. 236, (1), 2001, p. 113-131
Greenleaf, Allan; Uhlmann, Gunther
Local uniqueness for the Dirichlet-to-Neumann map via the two-plane transform
Duke mathematical journal, v. 108, (3), 2001, p. 599-617
Greenleaf, Allan; Uhlmann, Gunther
On determining a Riemannian manifold from the Dirichlet-to-Neumann map
Annales scientifiques de l'Ecole normale supérieure, v. 34, (5), 2001, p. 771-787
Lassas, Matti; Uhlmann, Gunther
Recent progress in the anisotropic electrical impedance problem
Electronic Journal of Differential Equations (EJDE), Proc. of conferences, v. 6, 2001, p. 303-311
Uhlmann, Gunther
The x-ray transform for a non-Abelian connection in two dimensions
Inverse problems, v. 17, (4), 2001, p. 695-701
Finch, David V.; Uhlmann, Gunther
Travel time tomography
Journal of the Korean Mathematical Society, v. 38, (4), 2001, p. 711-722
Uhlmann, Gunther

Book chapter 1

Inverse scattering in anisotropic media
Surveys on Solution Methods for Inverse Problems / Edited by David Colton, Heinz W. Engl, Alfred Louis, Joyce R. McLaughlin, William Rundell, New York: Springer Vienna, 2001, p. 235-251
Uhlmann, Gunther


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Article 1

On deformation boundary rigidity and spectral rigidity of Riemannian surfaces with no focal points
Journal of differential geometry, v. 56, (1), 2000, p. 93-110
Sharafutdinov, Vladimir A.; Uhlmann, Gunther


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Article 2

Inverse elastic scattering at a fixed energy
Journal of Inverse and Ill Posed Problems, v. 7, (3), 1999, p. 283-288
Nakamura, Gen; Uhlmann, Gunther
Layer stripping for a transversely isotropic elastic medium
SIAM journal on applied mathematics, v. 59, (5), 1999, p. 1879-1891
Nakamura, Gen; Tanuma, Kazumi; Uhlmann, Gunther

Book chapter 1

Developments in inverse problems since Calderon’s foundational paper
Harmonic Analysis and Partial Differential Equations in honor of Alberto P. Calderon / Edited by M. Christ, C. Kenig, C. Sadosky, U.S.: University of Chicago Press, 1999, p. 295–345, Chapter 19
Uhlmann, Gunther


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Article 4

Inverse Boundary Value Problems for Partial Differential Equations
Documenta Mathematica, Extra Volume ICM 98, v. III, 1998, 77–86
Uhlmann, Gunther
Rigidity for metrics with the same lengths of Geodesics
Mathematical research letters, v. 5, (1-2), 1998, p. 83-96
Stefanov, Plamen D.; Uhlmann, Gunther
Stability Estimates for the Hyperbolic Dirichlet to Neumann Map in Anisotropic Media
Journal of functional analysis, v. 154, (2), 1998, p. 330-358
Stefanov, Plamen D.; Uhlmann, Gunther
Uniqueness for a wave propagation inverse problem in a half-space
Inverse problems, v. 14, (3), 1998, p. 679-684
Lassas, Matti; Cheney, Margaret; Uhlmann, Gunther


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Article 3

Inverse backscattering for the acoustic equation
SIAM journal on mathematical analysis, v. 28, (5), 1997, p. 1191-1204
Stefanov, Plamen D.; Uhlmann, Gunther
Inverse problems in quasilinear anisotropic media
American journal of mathematics, v. 119, (4), 1997, p. 771-797
Sun, Ziqi; Uhlmann, Gunther
Uniqueness in the inverse conductivity problem for nonsmooth conductivities in two dimensions
Communications in partial differential equations, v. 22, (5-6), 1997, p. 1009-1027
Brown, Russell M.; Uhlmann, Gunther

Book chapter 1

A layer stripping algorithm in elastic impedance tomography
IMA Volume 90 “Inverse Problems in Wave Propagation” / Edited by G. Chavent, G. Papanicolau, P. Sacks and W. Symes, New York: Springer, 1997, p. 375-384
Nakamura, Gen; Uhlmann, Gunther


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Article 1

Inverse problems in non-linear media
Journées équations aux dérivées partielles, Saint-Jean des Monts, v. XIV, 1996, p. 1–11
Sun, Ziqi; Uhlmann, Gunther

Book chapter 1

Inverse boundary value problems for elastic materials
Inverse Problems in Geophysical Applications (Proceedings in Applied Mathematics) /Edited by Heinz W. Engl, Alfred Karl Louis, William Rundell, Philadelphia, P.A.: SIAM, 1996, (197), p. 12–26
Uhlmann, Gunther


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Article 2

Global identifiability for an inverse problem for the Schr?dinger equation in a magnetic field
Mathematische Annalen, v. 303, (1), December 1995, p. 377-388
Nakamura, Gen; Sun, Ziqi; Uhlmann, Gunther
Inverse Problems at the Boundary for an Elastic Medium
SIAM journal on mathematical analysis, v. 26, (2), p. 263-279
Nakamura, Gen; Uhlmann, Gunther

Conference paper 1

Elastic impedance tomography
Proceedings of the 1995 ASME Design Engineering Technical Conference, Part C, Boston, MA, USA,17–20 September 1995, v. 84, (3), 1995, p. 987–992
Nakamura, Gen; Uhlmann, Gunther


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Article 1

Global uniqueness for an inverse boundary problem arising in elasticity
Inventiones mathematicae, v. 118, (1), 1994, p. 457-474
Nakamura, Gen; Uhlmann, Gunther

Conference paper 2

Inverse Boundary and Scattering Problems for an Elastic Medium
Proceedings of the Second International Symposium on Inverse Problems, Paris, France, 2-4 November 1994, Inverse Problems in Engineering Mechanics, 1994, p. 165-168
Nakamura, Gen; Uhlmann, Gunther
The modified Radon transform of Lax and Phillips in scattering theory
Proceedings of the Conference: “75 Years of the Radon transform”, ERWIN SCHRODINGER INT INST MATH PHYS, VIENNA, AUSTRIA, AUG 31-SEP 04, 1992, v. 4, 1994, p. 161–166
Greenleaf, Allan; Uhlmann, Gunther


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Article 5

Identification of Lame parameters from boundary measurements
American journal of mathematics, v. 115, (5), October 1993, p. 1161-1187
Nakamura, Gen; Uhlmann, Gunther
Inverse boundary value problems for first order perturbations of the Laplacian
Lectures in Applied Mathematics, v. 30, 1993, p. 245–258
Uhlmann, Gunther
Inverse Scattering for Singular Potentials in Two Dimensions
Transactions of the American Mathematical Society, v. 338, (1), July 1993, p. 363-374
Sun, Ziqi; Uhlmann, Gunther
Recovering singularities of a potential from singularities of scattering data
Communications in Mathematical Physics, v. 157, (3), 1993, p. 549-572
Greenleaf, Allan; Uhlmann, Gunther
Recovery of singularities for formally determined inverse problems
Communications in Mathematical Physics, v. 153, (3), 1993, p. 431-445
Sun, Ziqi; Uhlmann, Gunther


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Article 3

An inverse boundary value problem for Maxwell's equations
Archive for rational mechanics and analysis, v. 119, (1), 1992, p. 71-93
Sun, Ziqi; Uhlmann, Gunther
Inverse Boundary-Value-Problems and Applications
Astérisque, v. 207, 1992, p. 153-211
Uhlmann, Gunther
Microlocal analysis of the two-plane transform
Contemporary Mathematics, v. 140, 1992, p. 65–71
Greenleaf, Allan; Uhlmann, Gunther


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Article 3

Composition of some singular Fourier integral operators and estimates for restricted x-ray transforms 2
Duke mathematical journal, v. 64, (3), December 1991, p. 415-444
Greenleaf, Allan; Uhlmann, Gunther
Generic uniqueness for an inverse boundary value problem
Duke Mathematical Journal, v. 62, (1), February 1991, p. 131-155
Sun, Ziqi; Uhlmann, Gunther
Inverse problems in anisotropic media
Contemporary Mathematics, v. 122, 1991, p. 105–117
Sylvester, John; Uhlmann, Gunther

Conference paper 2

Generic uniqueness for determined inverse problems in 2 dimensions
Proceedings of satellite conference on inverse problems in the engineering sciences, ICM-90, Kyoto, Japan, 1991, p. 145–152
Sun, Ziqi; Uhlmann, Gunther
Uniqueness for Identifying Lamé Moduli by Dirichlet to Neumann Map
Proceedings of satellite conference on inverse problems in the engineering sciences, ICM-90, Kyoyo, Japan, 1991, p. 133–138
Nakamura, Gen; Uhlmann, Gunther


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Article 3

Composition of some singular Fourier integral operators and estimates for restricted X-ray transforms
Annales de l'institut Fourier, v. 40, (2), 1990, p. 443-466
Greenleaf, Allan; Uhlmann, Gunther
Estimates for singular radon transforms and pseudodifferential operators with singular symbols
Journal of functional analysis, v. 89, (1), 1990, p. 202-232
Greenleaf, Allan; Uhlmann, Gunther
Microlocal techniques in integral geometry
Contemporary Mathematics, v. 113, 1990, p. 121–135
Greenleaf, Allan; Uhlmann, Gunther


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Article 2

Determining anisotropic real-analytic conductivities by boundary measurements
Communications on Pure and Applied Mathematics, v. 42, (8), December 1989, p. 1097-1112
Lee, John M.; Uhlmann, Gunther
Non-local inversion formulas for the X-ray transform
Duke Mathematical Journal, v. 58, (1), February 1989, p. 205-240
Greenleaf, Allan; Uhlmann, Gunther

Conference paper 1

The Dirichlet to Neumann map and applications
SIAM proceedings series list, Inverse Problems in Partial Differential Equations, Humboldt State University, Arcata, California, July 29–August 4 1989
Sylvester, John; Uhlmann, Gunther


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Article 3

An n-dimensional Borg-Levinson theorem
Communications in Mathematical Physics, v. 115, (4), 1988, p. 595-605
Nachman, Adrian I.; Sylvester, John; Uhlmann, Gunther
Inverse Boundary Value Problems
Lecture Notes in Mathematics, v. 1324, 1988, p. 320-328
Sylvester, John; Uhlmann, Gunther
Inverse Boundary-Value Problems at the Boundary - Continuous Dependence
Communications on pure and applied mathematics, v. 41, (2), March 1988, p. 197-219
Sylvester, John; Uhlmann, Gunther

Conference paper 1

Microlocal Analysis and Scattering theory
Partial Differential Operators: Proceedings of ELAM VIII, held in Rio de Janeiro, July 14-25, 1986 (Lecture Notes in Mathematics - 1324) / edited by by Fernando A. Cardoso, Djairo G. de Figueiredo, Rafael Iorio, Orlando Lopes. Berlin: Springer (1988) p. 320-328
Sylvester, John; Uhlmann, Gunther


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Article 1

A global uniqueness theorem for an inverse boundary value problem
Annals of Mathematics, v. 125, (1), 1987, p. 153-169
Sylvester, John; Uhlmann, Gunther

Conference paper 1

Remarks on an inverse boundary value problem
Proceedings Oberwolfach Conference on topics in Pseudo differential Operator, 2–8 February 1986, Lecture Notes in Mathematics, 1987, p. 430-441
Sylvester, John; Uhlmann, Gunther


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Article 1

A uniqueness theorem for an inverse boundary value problem in electrical prospection
Communications on Pure and Applied Mathematics, v. 39, (1), 1986, p. 91-112
Sylvester, John; Uhlmann, Gunther

Conference paper 2

Inverse Boundary Value Problems
Proceedings VIII ELAM, Rio de Janeiro, July 14–25 1986, Partial Differential Equations, Lecture Notes in Mathematics, v. 1324, 1988, p. 320–328
Sylvester, John; Uhlmann, Gunther
Product type conormal distributions in scattering theory
Dynamical Systems and Partial Differential Equations: Proceedings of the VII ELAM (Escuela Latinoamericana de Matematicas VII, Universidad Simon Bolivar, Caracas, 16-27 Junio 1984) / Edited by Lara-Carrero, Lorenzo & Jorge Lewowicz. Baldwin City, KS: Michener & Rutledge Booksellers, Inc.1986, p. 155-160
Uhlmann, Gunther


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Article 1

Scattering by a potential
Lecture Notes in Spanish, Acta Cientifica Venezolana, v. 36, 1985, p. 1-18
Uhlmann, Gunther

Conference paper 2

A boundary canonical transformation for a class of operators with double characteristics
Proceedings of the First Chilean Symposium on Mathematics, Lecture Notes in Pure and Appl. Math., Universidad Técnica Federico Santa María, Analysis Geometry and Probability, , v. 93, 1985, p. 53–68
Uhlmann, Gunther
A functional calculus for a class of pseudodifferential operators with singular symbols
Proceedings of the Symposium on Pseudodifferential Operators and Fourier Integral Operators with Applications to Partial Differential Equations, Notre Dame, Indiana, April 2-5, 1984, Proceedings of Symposia in Pure Mathematics, v. 43, 1985, p. 5-16
Antoniano, José L.; Uhlmann, Gunther


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Article 2

A sufficient condition for local solvability for a class of operators with double characteristics
American Journal of Mathematics, v. 106, (1), 1984, p. 187-217
Mendoza, Gerardo A.; Uhlmann, Gunther
Singular asymptotics approach to partial differential equations with isolated singularities in the coefficients
Bulletin of the American Mathematical Society, v. 11, (1), 1984, p. 172-176
Callias, Constantine J.; Uhlmann, Gunther


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Article 1

A necessary condition for local solvability for a class of operators with double characteristics
Journal of functional analysis, v. 52, (2), 1983, p. 252-256
Mendoza, Gerardo A.; Uhlmann, Gunther


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Article 1

Light intensity distribution in conical refraction
Communications on Pure and Applied Mathematics, v.35, (1), 1982, p. 69-80
Uhlmann, Gunther


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Article 1

Oscillatory integrals with singular symbols
Duke Mathematical Journal, v. 48, (1), 1981, p. 251-267
Guillemin, Victor; Uhlmann, Gunther


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Article 3

Lagrangian intersection and the Cauchy problem
Communications on Pure and Applied Mathematics, v.32, (4), 1979, p. 483-519
Melrose, Richard B.; Uhlmann, Gunther
Microlocal structure of involutive conical refraction
Duke Mathematical Journal, v. 46, (3), 1979, p. 571-582
Melrose, Richard B.; Uhlmann, Gunther
Parametrices for operators with multiple involutive characteristics
Communications in Partial Differential Equations, v. 4, (7), 1979, p. 739-767
Uhlmann, Gunther


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Article 1

Pseudo-differential operators with involutive double characteristics
Communications in Partial Differential Equations, v. 2, (7), 1977, p. 713-779
Uhlmann, Gunther


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2016 5

Boundary rigidity with partial data
Journal of the American Mathematical Society, v. 29, (2), 2016, p. 299-332
Stefanov, Plamen D.; Uhlmann, Gunther A.; Vasy, Andras Article
Local analytic regularity in the linearized calderón problem
Analysis & PDE, v. 9, (3), June 2016, p. 515-544
Sjostrand, Johannes; Uhlmann, Gunther Article
The Calderón Problem with Partial Data for Conductivities with 3/2 Derivatives
Communications in Mathematical Physics, v. 348, (1), November 2016, p. 185-219
Krupchyk, Katya; Uhlmann, Gunther Article
The inverse problem for the local geodesic ray transform
Inventiones Mathematicae, v. 205, (1), July 2016, p. 83-120
Uhlmann, Gunther; Vasy, Andras Article
The X-ray transform for connections in negative curvature
Communications in Mathematical Physics, v. 343, (1), April 2016, p. 83-127
Guillarmou, Colin; Paternain, Gabriel P.; Salo, Mikko; Uhlmann, Gunther Article

2015 10

An inverse kinematic problem with internal sources
Inverse Problems, v. 31, (5), May 2015, article number 055006
Pestov, Leonid N.; Uhlmann, Gunther; Zhou, Hanming Article
Determining both sound speed and internal source in thermo-and photo-acoustic tomography
Inverse Problems, v. 31, (10), September 2015, article number 105005
Liu, Hongyu; Uhlmann, Gunther Article
Invariant distributions, Beurling transforms and tensor tomography in higher dimensions
Mathematische Annalen, v. 363, (1-2), October 2015, p. 305-362
Paternain, Gabriel P.; Salo, Mikko; Uhlmann, Gunther Article
On LpResolvent Estimates for Elliptic Operators on Compact Manifolds
Communications in Partial Differential Equations, v. 40, (3), March 2015, p. 438-474
Krupchyk, Katsiaryna; Uhlmann, Gunther Article
On the inverse problem of finding cosmic strings and other topological defects
Communications in Mathematical Physics, v. 357, (2), January 2018, p. 569-595
Lassas, Matti; Oksanen, Lauri; Stefanov, Plamen D.; Uhlmann, Gunther Alberto Arancibia Article
On the range of the attenuated ray transform for unitary connections
International Mathematics Research Notices, v. 2015, (4), 2015, p. 873-897
Paternain, Gabriel P.; Salo, Mikko; Uhlmann, Gunther Article
Reconstruction of a fully anisotropic elasticity tensor from knowledge of displacement fields
SIAM Journal on Applied Mathematics, v. 75, (5), 2015, p. 2214-2231
Bal, Guillaume P.; Monard, Fran?ois; Uhlmann, Gunther Article
Regularized Transformation-Optics Cloaking for the Helmholtz Equation: From Partial Cloak to Full Cloak
Communications in Mathematical Physics, v. 335, (2), 2015, p. 671-712
Li, Jingzhi; Liu, Hongyu; Rondi, Luca; Uhlmann, Gunther Article
The geodesic ray transform on Riemannian surfaces with conjugate points
Communications in Mathematical Physics, v. 337, (3), August 2015, p. 1491-1513
Monard, Fran?ois; Stefanov, Plamen D.; Uhlmann, Gunther Article
The Neumann-to-Dirichlet map in two dimensions
Advances in Mathematics, v. 281, August 2015, p. 578-593
Imanuvilov, Oleg Yu; Uhlmann, Gunther; Yamamoto, Masahiro Article

2014 9

Inverse Boundary Value Problem for the Stokes and the Navier–Stokes Equations in the Plane
Archive for Rational Mechanics and Analysis, v. 215, (3), 2014, p. 811-829
Lai, Ruyu; Uhlmann, Gunther; Wang, Jenn-Nan Article
Inverse boundary value problems for the perturbed polyharmonic operator
Transactions of the American Mathematical Society, v. 366, (1), January 2014, p. 95-112
Krupchyk, Katsiaryna; Lassas, Matti; Uhlmann, Gunther Article
Inverse problems: seeing the unseen
Bulletin of Mathematical Sciences, v. 4, (2), January 2014, p. 209-279
Uhlmann, Gunther Article
Photoacoustic and thermoacoustic tomography with an uncertain wave speed
Mathematical Research Letters, v. 21, (5), 2014, p. 1199-1214
Oksanen, Lauri; Uhlmann, Gunther Article
Special Issue on Complex Geometrical Optics (CGO) Solutions FOREWORD
Inverse Problems and Imaging, v. 8, (4), November 2014, p. 1-2
Hamilton, Sarah; Knudsen, Kim; Siltanen, Samuli; Uhlmann, Gunther Article
Spectral rigidity and invariant distributions on anosov surfaces
Journal of Differential Geometry, v. 98, (1), 2014, p. 147-181
Paternain, Gabriel P.; Salo, Mikko; Uhlmann, Gunther Article
Tensor tomography: Progress and challenges
Chinese Annals of Mathematics. Series B, v. 35, (3), 2014, p. 399-428
Paternain, Gabriel P.; Salo, Mikko; Uhlmann, Gunther Article
Uniqueness for the inverse backscattering problem for angularly controlled potentials
Inverse Problems, v. 30, (6), 2014, article number 065005
Rakesh; Uhlmann, Gunther Article
Uniqueness in an Inverse Boundary Problem for a Magnetic Schr?dinger Operator with a Bounded Magnetic Potential
Communications in Mathematical Physics, v. 327, (3), 2014, p. 993-1009
Krupchyk, Katsiaryna; Uhlmann, Gunther Article

2013 10

Increasing stability in an inverse problem for the acoustic equation
Inverse Problems, v. 29, (2), February 2013, article number 025012
Nagayasu, Sei; Uhlmann, Gunther; Wang, Jenn-Nan Article
Instability of the linearized problem in multiwave tomography of recovery both the source and the speed
Inverse Problems and Imaging, v. 7, (4), November 2013, p. 1367-1377
Stefanov, Plamen D.; Uhlmann, Gunther Article
Inverse Boundary Problems for Systems in Two Dimensions
Annales Henri Poincare, v. 14, (6), September 2013, p. 1551-1571
Albin, Pierre; Guillarmou, Colin; Tzou, Leo; Uhlmann, Gunther Article
Is a curved flight path in SAR better than a straight one?
SIAM Journal on Applied Mathematics, v. 73, (4), 2013, p. 1596-1612
Stefanov, Plamen D.; Uhlmann, Gunther Article
Multiscale discrete approximations of Fourier integral operators associated with canonical transformations and caustics
Multiscale Modeling and Simulation, v. 11, (2), 2013, p. 566-585
De Hoop, Maarten V.; Uhlmann, Gunther; Vasy, András; Wendt, Herwig Article
Reconstruction of coefficients in scalar second-order elliptic equations from knowledge of their solutions
Communications on Pure and Applied Mathematics, v. 66, (10), October 2013, p. 1629-1652
Bal, Guillaume P.; Uhlmann, Gunther Article
Recovery of a source term or a speed with one measurement and applications
Transactions of the American Mathematical Society, v. 365, (11), 2013, p. 5737-5758
Stefanov, Plamen D.; Uhlmann, Gunther Article
Tensor tomography on surfaces
Inventiones Mathematicae, v. 193, (1), July 2013, p. 229-247
Paternain, Gabriel P.; Salo, Mikko; Uhlmann, Gunther Article
Inverse Problems and Applications: Inside Out II
Inverse Problems and Applications: Inside Out II (Mathematical Sciences Research Institute Publications: Book 60) / Edited by Gunther Uhlmann. Cambridge University Press, 2013
Uhlmann, Gunther Book
Multi-wave methods via ultrasound
Inverse Problems and Applications: Inside Out II / Edited by Gunther Uhlmann. Cambridge : Cambridge University Press, 2013, p. 271-323
Stefanov, Plamen D.; Uhlmann, Gunther Book chapter

2012 9

Cloaked electromagnetic, acoustic, and quantum amplifiers via transformation optics
Proceedings of the National Academy of Sciences of the United States of America, v. 109, (26), June 2012, p. 10169-10174
Greenleaf, Allan; Kurylev, Yaroslav V.; Lassas, Matti; Leónhardt, Ulf; Uhlmann, Gunther Article
Determining a first order perturbation of the biharmonic operator by partial boundary measurements
Journal of Functional Analysis, v. 262, (4), 2012, p. 1781–1801
Krupchyk, Katsiaryna; Lassas, Matti; Uhlmann, Gunther Article
Inverse Problems With Partial Data for a Magnetic Schr?dinger Operator in an Infinite Slab and on a Bounded Domain
Communications in Mathematical Physics, v. 312, (1), 2012, p. 87-126
Krupchyk, Katsiaryna; Lassas, Matti; Uhlmann, Gunther Article
On uniqueness of Lamé coefficients from partial Cauchy data in three dimensions
Inverse problems, v. 28, (12), November 2012, article number 125002
Imanuvilov, Oleg Yu; Uhlmann, Gunther; Yamamoto, Masahiro Article
Partial Cauchy data for general second order elliptic operators in two dimensions
Publications of the Research Institute for Mathematical Sciences, v. 48, (4), 2012, p. 971-1055
Imanuvilov, Oleg Yu; Uhlmann, Gunther; Yamamoto, Masahiro Article
Reconstructions for some coupled-physics inverse problems
Applied mathematics letters, v. 25, (7), 2012, p. 1030-1033
Bal, Guillaume P.; Uhlmann, Gunther Article
Regularity and multi-scale discretization of the solution construction of hyperbolic evolution equations with limited smoothness
Applied and computational harmonic analysis, v. 33, (3), 2012, p. 330-353
De Hoop, Maarten V.; Holman, Sean F.; Smith, Hart F.; Uhlmann, Gunther Article
The attenuated ray transform for connections and Higgs fields
Geometric and functional analysis, v. 22, (5), 2012, p. 1460-1489
Paternain, Gabriel P.; Salo, Mikko; Uhlmann, Gunther Article
The geodesic x-ray transform with fold caustics
Analysis & PDE, v. 5, (2), 2012, p. 219-260
Stefanov, Plamen D.; Uhlmann, Gunther Article

2011 22

An adaptive phase space method with application to reflection traveltime tomography
Inverse problems, v. 27, (11), 2011, article number 115002
Chung, Eric; Qian, Jianliang; Uhlmann, Gunther; Zhao, Hongkai Article
An efficient neumann series-based algorithm for thermoacoustic and photoacoustic tomography with variable sound speed
SIAM journal on imaging sciences, v. 4, (3), 2011, p. 850-883
Qian, Jianliang; Stefanov, Plamen D.; Uhlmann, Gunther; Zhao, Hongkai Article
Approximate quantum and acoustic cloaking
Journal of Spectral Theory, v. 1, (1), 2011, p. 27-80
Greenleaf, Allan; Kurylev, Yaroslav V.; Lassas, Matti; Uhlmann, Gunther Article
Asymptotic behavior of solutions of the stationary Navier-Stokes equations in an exterior domain
Indiana University mathematics journal, v. 60, (6), 2011, p. 2093-2106
Lin, Ching-Lung; Uhlmann, Gunther; Wang, Jenn-Nan Article
Calderon's paper "On an inverse boundary value problem"
Revista matemática iberoamericana, 2011, p. 297+
Uhlmann, Gunther Article
Cloaking a sensor for three-dimensional Maxwell's equations: Transformation optics approach
Optics express, v. 19, (21), 2011, p. 20518-20530
Chen, Xudong; Uhlmann, Gunther Article
Cloaking a sensor via transformation optics
Physical Review E, v. 83, (1), January 2011, article number 016603
Greenleaf, Allan; Kurylev, Yaroslav V.; Lassas, Matti; Uhlmann, Gunther Article
Decoupling of modes for the elastic wave equation in media of limited smoothness
Communications in partial differential equations, v. 36, (10), 2011, p. 1683-1693
Brytik, Valeriy; De Hoop, Maarten V.; Smith, Hart F.; Uhlmann, Gunther Article
Determination of second-order elliptic operators in two dimensions from partial Cauchy data
Proceedings of the National Academy of Sciences of the United States of America, v. 108, (2), January 2011, p. 467-472
Imanuvilov, Oleg Yu; Uhlmann, Gunther; Yamamoto, Masahiro Article
Inverse boundary value problem by measuring Dirichlet data and Neumann data on disjoint sets
Inverse problems, v. 27, (8), 2011, article number 085007
Imanuvilov, Oleg Yu; Uhlmann, Gunther; Yamamoto, Masahiro Article
Inverse problems for differential forms on riemannian manifolds with boundary
Communications in partial differential equations, v. 36, (8), 2011, p. 1475-1509
Krupchyk, Katsiaryna; Lassas, Matti; Uhlmann, Gunther Article
Inverse problems for the anisotropic maxwell equations
Duke mathematical journal, v. 157, (2), 2011, p. 369-419
Kenig, Carlos E.; Salo, Mikko; Uhlmann, Gunther Article
Polarization-invariant directional cloaking by transformation optics
Progress In Electromagnetics Research, v. 118, 2011, p. 415-423
Agarwal, Krishna; Chen, Xudong; Hu, Li; Liu, Hongyu; Uhlmann, Gunther Article
Quantitative strong unique continuation for the Lamé system with less regular coefficients
Methods and Applications of Analysis, v. 18, (1), 2011, p. 85-92
Uhlmann, Gunther; Lin, Ching-Lung; Nakamura, Gen; Wang, Jenn-Nan Article
Quantitative thermo-acoustics and related problems
Inverse problems, v. 27, (5), 2011, article number 055007
Bal, Guillaume P.; Ren, Kui; Uhlmann, Gunther; Zhou, Ting Article
Reconstruction of penetrable obstacles in acoustic scattering
SIAM journal on mathematical analysis, v. 43, (1), 2011, p. 189-211
Nagayasu, Sei; Uhlmann, Gunther; Wang, Jenn-Nan Article
Reconstructions from boundary measurements on admissible manifolds
Inverse problems and imaging, v. 5, (4), 2011, p. 859-877
Kenig, Carlos E.; Salo, Mikko; Uhlmann, Gunther Article
The attenuated ray transform on simple surfaces
Journal of differential geometry, v. 88, (1), 2011, p. 161-187
Salo, Mikko; Uhlmann, Gunther Article
Thermoacoustic tomography arising in brain imaging
Inverse problems, v. 27, (4), 2011, article number 045004
Stefanov, Plamen D.; Uhlmann, Gunther Article
Universal multi-scale computations of Fourier integral operators for coherent imaging in caustics
SEG technical program expanded abstracts, v. 30, (1), 2011, p. 2936-2940
Wendt, Herwig; De Hoop, Maarten V.; Uhlmann, Gunther; Vasy, András Article
Tomography and Inverse Transport Theory
Tomography and Inverse Transport Theory, Contemporary Mathematics vol. 559 / Guillaume Bal, Peter Kuchment, Plamen Stefanov, Gunther Uhlmann. AMS, 2011
Bal, Guillaume P.; Kuchment, Peter; Stefanov, Plamen D.; Schotland, John; Uhlmann, Gunther Book
Wave Phenomena
Handbook of Mathematical Methods in Imaging / Otmar Schetzer editor. New York: Springer-Verlag, 2011, p. 867-909
Lassas, Matti; Salo, Mikko; Uhlmann, Gunther Book chapter

2010 8

Inverse diffusion theory of photoacoustics
Inverse problems, v. 26, (8), August 2010, article Number: 085010
Bal, Guillaume P.; Uhlmann, Gunther Article
Inverse problems with partial data in a slab
Inverse problems and imaging, v. 4, (3), 2010, p. 449-462
Li, Xiaosheng; Uhlmann, Gunther Article
Inverse scattering for the magnetic Schr?dinger operator
Journal of functional analysis, v. 259, (7), 2010, p. 1771-1798
P?iv?rinta, Lassi Juhani; Salo, Mikko; Uhlmann, Gunther Article
Methods and Applications of Analysis: Preface
Methods and Applications of Analysis, v. 17, no. 4 (Dec 2010) p. i-ii
Uhlmann, G.; Chung, Tsz Shun; Yamamoto, Masahiro; Zou, Jun Article
Optimal three-ball inequalities and quantitative uniqueness for the Stokes system
Discrete and continuous dynamical systems, v. 28, (3), 2010, p. 1273-1290
Lin, Ching-Lung; Uhlmann, Gunther; Wang, Jenn-Nan Article
Reconstructing the metric and magnetic field from the scattering relation
Inverse problems and imaging, v. 4, (3), 2010, p. 397-409
Dairbekov, Nurlan S.; Uhlmann, Gunther Article
Rigidity of broken geodesic flow and inverse problems
American journal of mathematics, v. 132, (2), 2010, p. 529-562
Kurylev, Yaroslav V.; Lassas, Matti; Uhlmann, Gunther Article
The calderón problem with partial data in two dimensions
Journal of the American Mathematical Society, v. 23, (3), 2010, p. 655-691
Imanuvilov, Oleg Yu; Uhlmann, Gunther; Yamamoto, Masahiro Article

2009 13

A depth-dependent stability estimate in electrical impedance tomography
Inverse problems, v. 25, (7), 2009, article number 075001
Nagayasu, Sei; Uhlmann, Gunther; Wang, Jenn-Nan Article
Cloaking devices, electromagnetic wormholes, and transformation optics
SIAM review, v. 51, (1), 2009, p. 3-33
Greenleaf, Allan; Kurylev, Yaroslav V.; Lassas, Matti; Uhlmann, Gunther Article
Electrical impedance tomography and Calderón's problem
Inverse problems, v. 25, (12), 2009, article number 123011
Uhlmann, Gunther Article
Invisibility and inverse problems
Bulletin of the American Mathematical Society, v. 46, (1), 2009, p. 55-97
Greenleaf, Allan; Kurylev, Yaroslav V.; Lassas, Matti; Uhlmann, Gunther Article
Limiting Carleman weights and anisotropic inverse problems
Inventiones mathematicae, v. 178, (1), 2009, p. 119-171
Ferreira, David Dos Santos; Kenig, Carlos E.; Salo, Mikko; Uhlmann, Gunther Article
Linearizing non-linear inverse problems and an application to inverse backscattering
Journal of functional analysis, v. 256, (9), 2009, p. 2842-2866
Stefanov, Plamen D.; Uhlmann, Gunther Article
Local lens rigidity with incomplete data for a class of non-simple riemannian manifolds
Journal of differential geometry, v. 82, (2), 2009, p. 383-409
Stefanov, Plamen D.; Uhlmann, Gunther Article
On the linearized local calderón problem
Mathematical research letters, v. 16, (6), 2009, p. 955-970
Ferreira, David Dos Santos; Kenig, Carlos E.; Sj?strand, Johannes; Uhlmann, Gunther Article
Reconstruction of inclusions in an elastic body
Journal de mathématiques pures et appliquées, v. 91, (6), 2009, p. 569-582
Uhlmann, Gunther; Wang, Jenn-Nan; Wu, Chintien Article
Seismic imaging with the generalized Radon transform: A curvelet transform perspective
Inverse problems, v. 25, (2), 2009, article number 025005
De Hoop, Maarten V.; Smith, Hart F.; Uhlmann, Gunther; Van Der Hilst, Robert D. Article
Thermoacoustic tomography with variable sound speed
Inverse problems, v. 25, (7), 2009, article number 075011
Stefanov, Plamen D.; Uhlmann, Gunther Article
Unique Continuation Property for the Elasticity with General Residual Stress
Inverse problems and imaging, v. 3, (2), May 2009, p. 309-317
Uhlmann, Gunther; Wang, Jenn-Nan Article
Visibility and invisibility
ICIAM 07: 6th International Congress on Industrial and Applied Mathematics, Zürich, Switzerland, 16-20 July 2007, 2009, p. 381-408
Uhlmann, Gunther Conference paper

2008 13

A multi-scale approach to hyperbolic evolution equations with limited smoothness
Communications in partial differential equations, v. 33, (6), 2008, p. 988-1017
Andersson, Fredrik N.G.; De Hoop, Maarten V.; Smith, Hart F.; Uhlmann, Gunther Article
An Inverse Source Problem in Optical Molecular Imaging
Analysis & PDE, v. 1, (1), 2008, p. 115-126
Stefanov, Plamen D.; Uhlmann, Gunther Article
Approximate Quantum Cloaking and Almost-Trapped States
Physical Review Letters, v. 101, (22), November 2008, Article number 220404
Greenleaf, Allan; Kurylev, Yaroslav; Lassas, Matti; Uhlmann, Gunther Article
Complex geometrical optics solutions for anisotropic equations and applications
Journal of inverse and III-posed problems, v. 16, (8), 2008, p. 791-804
Takuwa, H.; Uhlmann, Gunther; Wang, Jenn-Nan Article
Electromagnetic wormholes via handlebody constructions
Communications in Mathematical Physics, v. 281, (2), 2008, p. 369-385
Greenleaf, Allan; Kurylev, Yaroslav V.; Lassas, Matti; Uhlmann, Gunther Article
Generalized backscattering and the Lax-Phillips transform
Serdica Mathematical Journal, v. 34, 2008, p. 1026-1044
Melrose, Richard B.; Uhlmann, Gunther Article
Integral geometry of tensor fields on a class of non-simple Riemannian manifolds
American journal of mathematics, v. 130, (1), 2008, p. 239-268
Stefanov, Plamen D.; Uhlmann, Gunther Article
Isotropie transformation optics: Approximate acoustic and quantum cloaking
New journal of physics, v. 10, 2008, article number 115024
Greenleaf, Allan; Kurylev, Yaroslav V.; Lassas, Matti; Uhlmann, Gunther Article
Reconstructing discontinuities using complex geometrical optics solutions
SIAM journal on applied mathematics, v. 68, (4), 2008, p. 1026-1044
Uhlmann, Gunther; Wang, Jenn-Nan Article
The X-ray transform for a generic family of curves and weights
Journal of geometric analysis, v. 18, (1), 2008, p. 89-108
Frigyik, Béla András; Stefanov, Plamen D.; Uhlmann, Gunther Article
Boundary and lens rigidity, tensor tomography and analytic microlocal analysis
Algebraic Analysis of Differential Equations / Fetschrift in Honor of Takahiro Kawai, edited by T. Aoki, H. Majima, Y. Katei and N. Tose, 2008, p. 275-293
Stefanov, Plamen D.; Uhlmann, Gunther Book chapter
Commentary on Calderón's paper (29), On an inverse boundary value problem
Selected Papers of Alberto P. Calderón with Commentary / Edited by Alexandra Bellow, Carlos E. Kenig and Paul Malliavin. American Mathematical Society, Rhode Island, United States, 2008, p. 623-636
Uhlmann, Gunther Book chapter
A phase-space formulation for elastic-wave traveltime tomography
4th Applied Inverse Problems International Conference, AIP 2007 and the 1st Congress of the Inverse Problems International Association, IPIA 2007, Vancouver, BC, Canada, 25-29 June 2007, Journal of physics. Conference series, v. 124, (1), 2008, article number 012018
Chung, Eric; Qian, Jianliang; Uhlmann, Gunther; Zhao, Hongkai Conference paper

2007 14

A new phase space method for recovering index of refraction from travel times
Inverse problems, v. 23, (1), February 2007, p. 309-329
Chung, Eric; Qian, Jianliang; Uhlmann, Gunther; Zhao, Hongkai Article
Complex spherical waves for the elasticity system and probing of inclusions
SIAM journal on mathematical analysis, v. 38, (6), 2007, p. 1967-1980
Uhlmann, Gunther; Wang, Jenn-Nan Article
Determining a magnetic Schr?dinger operator from partial cauchy data
Communications in Mathematical Physics, v. 271, (2), 2007, p. 467-488
Ferreira, David Dos Santos; Kenig, Carlos E.; Sj?strand, Johannes; Uhlmann, Gunther Article
Electromagnetic Wormholes and Virtual Magnetic Monopoles from Metamaterials
Physical Review Letters, v. 99, (18), November 2007, article number 183901
Greenleaf, Allan; Kurylev, Yaroslav; Lassas, Matti; Uhlmann, Gunther Article
Full-wave invisibility of active devices at all frequencies
Communications in Mathematical Physics, v. 275, (3), 2007, p. 749-789
Greenleaf, Allan; Kurylev, Yaroslav V.; Lassas, Matti; Uhlmann, Gunther Article
Improvement of cylindrical cloaking with the SHS lining
Optics express, v. 15, (20), 2007, p. 12717-12734
Greenleaf, Allan; Kurylev, Yaroslav V.; Lassas, Matti; Uhlmann, Gunther Article
Parametrices for symmetric systems with multiplicity
Wave motion, v. 44, (4), 2007, p. 231-247
Nolan, Clifford J.; Uhlmann, Gunther Article
Probing for electrical inclusions with complex spherical waves
Communications on pure and applied mathematics, v. 60, (10), 2007, p. 1415-1442
Ide, Takanori; Isozaki, Hiroshi; Nakata, Susumu; Siltanen, Samuli; Uhlmann, Gunther Article
Reconstruction of obstacles immersed in an incompressible fluid
Inverse problems and imaging, v. 1, (1), February 2007, p. 63-76
Heck, Horst; Uhlmann, Gunther; Wang, Jenn-Nan Article
The boundary rigidity problem in the presence of a magnetic field
Advances in mathematics, v. 216, (2), 2007, p. 535-609
Dairbekov, Nurlan S.; Paternain, Gabriel P.; Stefanov, Plamen D.; Uhlmann, Gunther Article
The Calderón problem for partial cauchy data
Annals of Math., v. 22, 2007, p. 431-445
Kenig, Carlos E.; Sj?strand, Johannes; Uhlmann, Gunther Article
The Calderón problem with partial data
Annals of mathematics, v. 165, (2), 2007, p. 567-591
Kenig, Carlos E.; Sj?strand, Johannes; Uhlmann, Gunther Article
Unique continuation for hyperbolic equations with memory
Journal of inverse and III-posed problems, v. 15, (6), 2007, p. 587-598
Bukhgeǐm, Alexander L.; Dyatlov, Gleb V.; Uhlmann, Gunther Article
Inverse problems, invisibility, and artificial wormholes
Journal of Physics: Conference Series, v. 124, 2008, article number 012005
Greenleaf, Allan; Kurylev, Yaroslav V.; Lassas, Matti; Uhlmann, Gunther Conference paper

2006 5

Characterization and 'source-receiver' continuation of seismic reflection data
Communications in Mathematical Physics, v. 263, (1), 2006, p. 1-19
De Hoop, Maarten V.; Uhlmann, Gunther Article
Inverse problems and Applications
Special issue of Computational and Applied Mathematics, v. 25, (2-3), 2006, Petr ?opolis.
Menzala, G. Perla; Uhlmann, Gunther Conference paper
Oscillating-Decaying Solutions for Elliptic Systems
Workshop on Inverse Problems, Multi-Scale Analysis and Homogenization, Seoul Natl Univ, Seoul, South Korea, JUN 22-24, 2005, Contemporary Mathematics, v. 408, 2006, p. 219-230
Nakamura, Gen; Uhlmann, Gunther; Wang, Jenn-Nan Conference paper
Reconstruction of discontinuities in systems
Journal of Physics: Conference Series, v. 73, June 2007, article number 012024
Uhlmann, Gunther; Wang, Jenn-Nan Conference paper
The scattering relation and the Dirichlet-to-Neumann map
10th International Conference on Differential Equations and Mathematical Physics, Univ Alabama, Birmingham, Birmingham, AL, MAR 29-APR 02, 2005, RECENT ADVANCES IN DIFFERENTIAL EQUATIONS AND MATHEMATICAL PHYSICS, Contemporary mathematics, v. 412, 2006, p. 249-262
Pestov, Leonid N.; Uhlmann, Gunther Conference paper

2005 7

Boundary rigidity and stability for generic simple metrics
Journal of the American Mathematical Society, v. 18, (4), 2005, p. 975-1003
Stefanov, Plamen D.; Uhlmann, Gunther Article
Oscillating-decaying solutions, Runge approximation property for the anisotropic elasticity system and their applications to inverse problems
Journal de mathématiques pures et appliquées, v. 84, (1), 2005, p. 21-54
Nakamura, Gen; Uhlmann, Gunther; Wang, Jenn-Nan Article
Recent Progress on the Boundary Rigidity Problem
Electronic Research Announcements of the American Mathematical Society, v. 11, 2005, p. 64-70
Stefanov, Plamen D.; Uhlmann, Gunther Article
Reconstruction of cracks in an inhomogeneous anisotropic medium using point sources
Advances in applied mathematics, v. 34, (3), 2005, p. 591-615
Nakamura, Gen; Uhlmann, Gunther; Wang, Jenn-Nan Article
Regularity of ghosts in tensor tomography
Journal of geometric analysis, v. 15, (3), 2005, p. 499-542
Sharafutdinov, Vladimir A.; Skokan, Michal; Uhlmann, Gunther Article
Stable determination of generic simple metrics from the hyperbolic Dirichlet-to-Neumann map
International mathematics research notices, (17), 2005, p. 1047-1061
Stefanov, Plamen D.; Uhlmann, Gunther Article
Two dimensional compact simple Riemannian manifolds are boundary distance rigid
Annals of mathematics, v. 161, (2), 2005, p. 1093-1110
Pestov, Leonid N.; Uhlmann, Gunther Article

2004 13

Hyperbolic geometry and local Dirichlet-Neumann map
Advances in mathematics, v. 188, (2), 2004, p. 294-314
Isozaki, Hiroshi; Uhlmann, Gunther Article
Inverse problems for the Pauli Hamiltonian in two dimensions
The journal of fourier analysis and applications, v. 10, (2), 2004, p. 201-215
Kang, Hyeonbae; Uhlmann, Gunther Article
Inverse Problems in N-body scattering
Contemporary Mathematics, v.348, 2004, p. 135-154
Uhlmann, Gunther; Vasy, András Article
Inverse scattering problem in nuclear physics - Optical model
Journal of mathematical physics, v. 45, (7), 2004, p. 2613-2632
Isozaki, Hiroshi; Nakazawa, Hideo; Uhlmann, Gunther Article
Local uniqueness for the fixed energy fixed angle inverse problem in obstacle scattering
Proceedings of the American Mathematical Society, v. 132, (5), 2004, p. 1351-1354
Stefanov, Plamen D.; Uhlmann, Gunther Article
On characterization of the range and inversion formulas for the geodesic X-ray transform
International mathematics research notices, (80), 2004, p. 4331-4347
Pestov, Leonid N.; Uhlmann, Gunther Article
Reconstruction of the Potential from Partial Cauchy Data for the Schr?dinger Equation
Indiana University mathematics journal, v. 53, (1), 2004, p. 169-183
Ammari, Habib; Uhlmann, Gunther Article
Stability estimates for the X-ray transform of tensor fields and boundary rigidity
Duke mathematical journal, v. 123, (3), 2004, p. 445-467
Stefanov, Plamen D.; Uhlmann, Gunther Article
The boundary distance function and the Dirichlet-to-Neumann map
Mathematical research letters, v. 11, (2-3), 2004, p. 285-297
Pestov, Leonid N.; Uhlmann, Gunther Article
Unique continuation property for elliptic systems and crack determination in anisotropic elasticity
Contemporary Mathematics, v. 362, 2004, p, 321-338
Wang, Jenn-Nan; Nakamura, Gen; Uhlmann, Gunther Article
Geometric Methods in Inverse Problems and PDE Control
Geometric Methods in Inverse Problems and PDE Control (The IMA Volumes in Mathematics and its Applications, Vol. 137) / edited by Christopher B. Croke, Irena, Lasiecka, Gunther Uhlmann, Michael S. Vogelius. Springer-Verlag, 2004
Croke, Christopher B.; Lasiecka, Irena; Uhlmann, Gunther; Vogelius, Michael S. Book
Partial Differential Equations and Inverse Problems
Partial Differential Equations and Inverse Problems (Contemporary Mathematics. Volume: 362) / Edited by: Carlos Conca, Raúl Manásevich, Gunther Uhlmann, and Michael S. Vogelius. Providence: American Mathematical Society, 2004
Conca, Carlos; Manásevich, Raúl; Uhlmann, Gunther; Vogelius, Michael S. Book
On the Local Dirichlet-to-Neumann Map
New Analytic and Geometric Methods in Inverse Problems / Edited by K. Bingham, Ya. V. Kurylev and E. Somersalo. Berlin: Springer, 2004, p. 261-279
Uhlmann, Gunther Book chapter

2003 19

Anisotropic inverse problems in two dimensions
Inverse problems, v. 19, (5), 2003, p. 1001-1010
Sun, Ziqi; Uhlmann, Gunther Article
Boundary determination of a Riemannian metric by the localized boundary distance function
Advances in applied mathematics, v. 31, (2), 2003, p. 379-387
Uhlmann, Gunther; Wang, Jenn-Nan Article
Complex geometrical optics solutions for Lipschitz conductivities
Revista matemática iberoamericana, v. 19, (1), 2003, p. 57-72
P?iv?rinta, Lassi Juhani; Panchenko, Alexander; Uhlmann, Gunther Article
Geometrical optics for generic anisotropic materials
Contemporary Mathematics, v. 333, 2003, p. 177-185
Nolan, Clifford J.; Uhlmann, Gunther Article
Inverse problems in three-body scattering
Contemporary Mathematics, v. 333, 2003, p. 209-215
Uhlmann, Gunther; Vasy, András Article
On nonuniqueness for calderón's inverse problem
Mathematical research letters, v. 10, (5-6), 2003, p. 685-693
Greenleaf, Allan; Lassas, Matti; Uhlmann, Gunther Article
Optical tomography in two dimensions
Methods and Applications of Analysis, v. 10, (1), 2003, p. 1-10
Stefanov, Plamen D.; Uhlmann, Gunther Article
Propagation of polarization in elastodynamics with residual stress and travel times
Mathematische Annalen, v. 326, (3), 2003, p. 563-587
Hansen, S?nke; Uhlmann, Gunther Article
Reconstruction of cracks in an inhomogeneous anisotropic elastic medium
Journal de mathématiques pures et appliquées, v. 82, (10), 2003, p. 1251-1276
Nakamura, Gen; Uhlmann, Gunther; Wang, Jenn-Nan Article
Semiglobal boundary rigidity for Riemannian metrics
Mathematische Annalen, v. 325, (4), 2003, p. 767-793
Lassas, Matti; Sharafutdinov, Vladimir A.; Uhlmann, Gunther Article
The Calderón Problem for Conormal Potentials I: Global Uniqueness and Reconstruction
Communications on pure and applied mathematics, v. 56, (3), 2003, p. 328-352
Greenleaf, Allan; Lassas, Matti; Uhlmann, Gunther Article
The Dirichlet-to-Neumann map for complete Riemannian manifolds with boundary
Communications in analysis and geometry, v. 11, (2), 2003, p. 207-221
Lassas, Matti; Taylor, Michael E.; Uhlmann, Gunther Article
Inside Out: Inverse Problems and Applications
Inside Out: Inverse Problems and Applications (Mathematical Sciences Research Institute Publications: Book 47) / by edited by Gunther Uhlmann. Cambridge, United Kingdom, Cambridge University Press, 2003
Uhlmann, Gunther Book
Inverse Problems: Theory and Applications
Inverse Problems: Theory and Applications (Contemporary Mathematics, Volume: 333) / Giovanni Alessandrini and Gunther Uhlmann, Editors. Providence: American Mathematical Society, 2003
Uhlmann, Gunther; Alessandrini, Giovanni Book
Inverse boundary problems in two dimensions
Function Spaces, Differential Operators and Nonlinear Analysis: The Hans Triebel Anniversary Volume / Dorothee Haroske, Thomas Runst, Hans-Jürgen Schmeisser. Birkh?user Basel, Switzerland, 2003, p. 183-203
Uhlmann, Gunther Book chapter
Microlocal analysis of the X-ray transform with sources on a curve
Inside Out, Inverse Problems and Applications / Gunther Uhlmann. The Press Syndicate of the University of Cambridge, The Pitt Building, Trumpington Street, Cambridge, United Kingdom, 2003, p. 193-218
Lan, Ih-Ren; Finch, David V.; Uhlmann, Gunther Book chapter
The Cauchy data and the scattering relation
Geometric methods in inverse problems and PDE controI / v. 137, 2003, p. 263-288
Uhlmann, Gunther Book chapter
Anisotropic conductivities that cannot be detected by EIT
1st Mummy Range Workshop on Electrical Impedence Tomography, Colorado State Univ, FT Collins, Colorado, AUG 01-07, 2002, Physiological measurement, v. 24, (2), May 2003, p. 413-419
Greenleaf, Allan; Lassas, Matti; Uhlmann, Gunther Conference paper
The inverse kinematic problem in anisotropic media
Proceedings of The Sixth International Conference on Mathematical and Numerical Aspects of Wave Propagation, Jyv?skyl?, Finland, 30 June – 4 July 2003, Mathematical and Numerical Aspects of Wave Propagation, Waves 2003, 2003, p. 39-45
Uhlmann, Gunther Conference paper

2002 7

Fixed energy inverse problem for exponentially decreasing potentials
Methods and Applications of Analysis, v. 9, 2002, p. 239-247
Vasy, András; Uhlmann, Gunther Article
Low-energy inverse problems in three-body scattering
Inverse problems, v. 18, (3), 2002, p. 719-736
Uhlmann, Gunther; Vasy, András Article
Reconstruction of the memory from partial boundary measurements
Contemporary Mathematics, v. 307, 2002, p. 39-46
Bukhgeǐm, Alexander L.; Dyatlov, Gleb V.; Uhlmann, Gunther Article
Recovering a potential from partial Cauchy data
Communications in partial differential equations, v. 27, (3-4), 2002, p. 653-668
Bukhgeǐm, Alexander L.; Uhlmann, Gunther Article
Complex geometrical optics solutions and pseudoanalytic matrices
Journal of Ill-Posed and Inverse Problems / v. 10, 2002, 305–338.
Nakamura, Gen; Uhlmann, Gunther Book chapter
Scattering by a metric
Encyclopedia on Scattering / Edited by R. Pike, P. Sabatier. Academic Press, 2002, p. 1668-1677, Chapter 6.1.5
Uhlmann, Gunther Book chapter
Recovering acoustic and elastic parameters from travel times
ASME International Mechanical Engineering Congress and Exposition, Proceedings, 2002, p. 1-6
Uhlmann, Gunther; Hansen, S?nke Conference paper

2001 8

A time-dependent approach to the inverse backscattering problem
Inverse problems, v. 17, (4), 2001, p. 703-716
Uhlmann, Gunther Article
Characteristic space-time estimates for the wave equation
Mathematische Zeitschrift, v. 236, (1), 2001, p. 113-131
Greenleaf, Allan; Uhlmann, Gunther Article
Local uniqueness for the Dirichlet-to-Neumann map via the two-plane transform
Duke mathematical journal, v. 108, (3), 2001, p. 599-617
Greenleaf, Allan; Uhlmann, Gunther Article
On determining a Riemannian manifold from the Dirichlet-to-Neumann map
Annales scientifiques de l'Ecole normale supérieure, v. 34, (5), 2001, p. 771-787
Lassas, Matti; Uhlmann, Gunther Article
Recent progress in the anisotropic electrical impedance problem
Electronic Journal of Differential Equations (EJDE), Proc. of conferences, v. 6, 2001, p. 303-311
Uhlmann, Gunther Article
The x-ray transform for a non-Abelian connection in two dimensions
Inverse problems, v. 17, (4), 2001, p. 695-701
Finch, David V.; Uhlmann, Gunther Article
Travel time tomography
Journal of the Korean Mathematical Society, v. 38, (4), 2001, p. 711-722
Uhlmann, Gunther Article
Inverse scattering in anisotropic media
Surveys on Solution Methods for Inverse Problems / Edited by David Colton, Heinz W. Engl, Alfred Louis, Joyce R. McLaughlin, William Rundell, New York: Springer Vienna, 2001, p. 235-251
Uhlmann, Gunther Book chapter

2000 1

On deformation boundary rigidity and spectral rigidity of Riemannian surfaces with no focal points
Journal of differential geometry, v. 56, (1), 2000, p. 93-110
Sharafutdinov, Vladimir A.; Uhlmann, Gunther Article

1999 3

Inverse elastic scattering at a fixed energy
Journal of Inverse and Ill Posed Problems, v. 7, (3), 1999, p. 283-288
Nakamura, Gen; Uhlmann, Gunther Article
Layer stripping for a transversely isotropic elastic medium
SIAM journal on applied mathematics, v. 59, (5), 1999, p. 1879-1891
Nakamura, Gen; Tanuma, Kazumi; Uhlmann, Gunther Article
Developments in inverse problems since Calderon’s foundational paper
Harmonic Analysis and Partial Differential Equations in honor of Alberto P. Calderon / Edited by M. Christ, C. Kenig, C. Sadosky, U.S.: University of Chicago Press, 1999, p. 295–345, Chapter 19
Uhlmann, Gunther Book chapter

1998 4

Inverse Boundary Value Problems for Partial Differential Equations
Documenta Mathematica, Extra Volume ICM 98, v. III, 1998, 77–86
Uhlmann, Gunther Article
Rigidity for metrics with the same lengths of Geodesics
Mathematical research letters, v. 5, (1-2), 1998, p. 83-96
Stefanov, Plamen D.; Uhlmann, Gunther Article
Stability Estimates for the Hyperbolic Dirichlet to Neumann Map in Anisotropic Media
Journal of functional analysis, v. 154, (2), 1998, p. 330-358
Stefanov, Plamen D.; Uhlmann, Gunther Article
Uniqueness for a wave propagation inverse problem in a half-space
Inverse problems, v. 14, (3), 1998, p. 679-684
Lassas, Matti; Cheney, Margaret; Uhlmann, Gunther Article

1997 4

Inverse backscattering for the acoustic equation
SIAM journal on mathematical analysis, v. 28, (5), 1997, p. 1191-1204
Stefanov, Plamen D.; Uhlmann, Gunther Article
Inverse problems in quasilinear anisotropic media
American journal of mathematics, v. 119, (4), 1997, p. 771-797
Sun, Ziqi; Uhlmann, Gunther Article
Uniqueness in the inverse conductivity problem for nonsmooth conductivities in two dimensions
Communications in partial differential equations, v. 22, (5-6), 1997, p. 1009-1027
Brown, Russell M.; Uhlmann, Gunther Article
A layer stripping algorithm in elastic impedance tomography
IMA Volume 90 “Inverse Problems in Wave Propagation” / Edited by G. Chavent, G. Papanicolau, P. Sacks and W. Symes, New York: Springer, 1997, p. 375-384
Nakamura, Gen; Uhlmann, Gunther Book chapter

1996 2

Inverse problems in non-linear media
Journées équations aux dérivées partielles, Saint-Jean des Monts, v. XIV, 1996, p. 1–11
Sun, Ziqi; Uhlmann, Gunther Article
Inverse boundary value problems for elastic materials
Inverse Problems in Geophysical Applications (Proceedings in Applied Mathematics) /Edited by Heinz W. Engl, Alfred Karl Louis, William Rundell, Philadelphia, P.A.: SIAM, 1996, (197), p. 12–26
Uhlmann, Gunther Book chapter

1995 3

Global identifiability for an inverse problem for the Schr?dinger equation in a magnetic field
Mathematische Annalen, v. 303, (1), December 1995, p. 377-388
Nakamura, Gen; Sun, Ziqi; Uhlmann, Gunther Article
Inverse Problems at the Boundary for an Elastic Medium
SIAM journal on mathematical analysis, v. 26, (2), p. 263-279
Nakamura, Gen; Uhlmann, Gunther Article
Elastic impedance tomography
Proceedings of the 1995 ASME Design Engineering Technical Conference, Part C, Boston, MA, USA,17–20 September 1995, v. 84, (3), 1995, p. 987–992
Nakamura, Gen; Uhlmann, Gunther Conference paper

1994 3

Global uniqueness for an inverse boundary problem arising in elasticity
Inventiones mathematicae, v. 118, (1), 1994, p. 457-474
Nakamura, Gen; Uhlmann, Gunther Article
Inverse Boundary and Scattering Problems for an Elastic Medium
Proceedings of the Second International Symposium on Inverse Problems, Paris, France, 2-4 November 1994, Inverse Problems in Engineering Mechanics, 1994, p. 165-168
Nakamura, Gen; Uhlmann, Gunther Conference paper
The modified Radon transform of Lax and Phillips in scattering theory
Proceedings of the Conference: “75 Years of the Radon transform”, ERWIN SCHRODINGER INT INST MATH PHYS, VIENNA, AUSTRIA, AUG 31-SEP 04, 1992, v. 4, 1994, p. 161–166
Greenleaf, Allan; Uhlmann, Gunther Conference paper

1993 5

Identification of Lame parameters from boundary measurements
American journal of mathematics, v. 115, (5), October 1993, p. 1161-1187
Nakamura, Gen; Uhlmann, Gunther Article
Inverse boundary value problems for first order perturbations of the Laplacian
Lectures in Applied Mathematics, v. 30, 1993, p. 245–258
Uhlmann, Gunther Article
Inverse Scattering for Singular Potentials in Two Dimensions
Transactions of the American Mathematical Society, v. 338, (1), July 1993, p. 363-374
Sun, Ziqi; Uhlmann, Gunther Article
Recovering singularities of a potential from singularities of scattering data
Communications in Mathematical Physics, v. 157, (3), 1993, p. 549-572
Greenleaf, Allan; Uhlmann, Gunther Article
Recovery of singularities for formally determined inverse problems
Communications in Mathematical Physics, v. 153, (3), 1993, p. 431-445
Sun, Ziqi; Uhlmann, Gunther Article

1992 3

An inverse boundary value problem for Maxwell's equations
Archive for rational mechanics and analysis, v. 119, (1), 1992, p. 71-93
Sun, Ziqi; Uhlmann, Gunther Article
Inverse Boundary-Value-Problems and Applications
Astérisque, v. 207, 1992, p. 153-211
Uhlmann, Gunther Article
Microlocal analysis of the two-plane transform
Contemporary Mathematics, v. 140, 1992, p. 65–71
Greenleaf, Allan; Uhlmann, Gunther Article

1991 5

Composition of some singular Fourier integral operators and estimates for restricted x-ray transforms 2
Duke mathematical journal, v. 64, (3), December 1991, p. 415-444
Greenleaf, Allan; Uhlmann, Gunther Article
Generic uniqueness for an inverse boundary value problem
Duke Mathematical Journal, v. 62, (1), February 1991, p. 131-155
Sun, Ziqi; Uhlmann, Gunther Article
Inverse problems in anisotropic media
Contemporary Mathematics, v. 122, 1991, p. 105–117
Sylvester, John; Uhlmann, Gunther Article
Generic uniqueness for determined inverse problems in 2 dimensions
Proceedings of satellite conference on inverse problems in the engineering sciences, ICM-90, Kyoto, Japan, 1991, p. 145–152
Sun, Ziqi; Uhlmann, Gunther Conference paper
Uniqueness for Identifying Lamé Moduli by Dirichlet to Neumann Map
Proceedings of satellite conference on inverse problems in the engineering sciences, ICM-90, Kyoyo, Japan, 1991, p. 133–138
Nakamura, Gen; Uhlmann, Gunther Conference paper

1990 3

Composition of some singular Fourier integral operators and estimates for restricted X-ray transforms
Annales de l'institut Fourier, v. 40, (2), 1990, p. 443-466
Greenleaf, Allan; Uhlmann, Gunther Article
Estimates for singular radon transforms and pseudodifferential operators with singular symbols
Journal of functional analysis, v. 89, (1), 1990, p. 202-232
Greenleaf, Allan; Uhlmann, Gunther Article
Microlocal techniques in integral geometry
Contemporary Mathematics, v. 113, 1990, p. 121–135
Greenleaf, Allan; Uhlmann, Gunther Article

1989 3

Determining anisotropic real-analytic conductivities by boundary measurements
Communications on Pure and Applied Mathematics, v. 42, (8), December 1989, p. 1097-1112
Lee, John M.; Uhlmann, Gunther Article
Non-local inversion formulas for the X-ray transform
Duke Mathematical Journal, v. 58, (1), February 1989, p. 205-240
Greenleaf, Allan; Uhlmann, Gunther Article
The Dirichlet to Neumann map and applications
SIAM proceedings series list, Inverse Problems in Partial Differential Equations, Humboldt State University, Arcata, California, July 29–August 4 1989
Sylvester, John; Uhlmann, Gunther Conference paper

1988 4

An n-dimensional Borg-Levinson theorem
Communications in Mathematical Physics, v. 115, (4), 1988, p. 595-605
Nachman, Adrian I.; Sylvester, John; Uhlmann, Gunther Article
Inverse Boundary Value Problems
Lecture Notes in Mathematics, v. 1324, 1988, p. 320-328
Sylvester, John; Uhlmann, Gunther Article
Inverse Boundary-Value Problems at the Boundary - Continuous Dependence
Communications on pure and applied mathematics, v. 41, (2), March 1988, p. 197-219
Sylvester, John; Uhlmann, Gunther Article
Microlocal Analysis and Scattering theory
Partial Differential Operators: Proceedings of ELAM VIII, held in Rio de Janeiro, July 14-25, 1986 (Lecture Notes in Mathematics - 1324) / edited by by Fernando A. Cardoso, Djairo G. de Figueiredo, Rafael Iorio, Orlando Lopes. Berlin: Springer (1988) p. 320-328
Sylvester, John; Uhlmann, Gunther Conference paper

1987 2

A global uniqueness theorem for an inverse boundary value problem
Annals of Mathematics, v. 125, (1), 1987, p. 153-169
Sylvester, John; Uhlmann, Gunther Article
Remarks on an inverse boundary value problem
Proceedings Oberwolfach Conference on topics in Pseudo differential Operator, 2–8 February 1986, Lecture Notes in Mathematics, 1987, p. 430-441
Sylvester, John; Uhlmann, Gunther Conference paper

1986 3

A uniqueness theorem for an inverse boundary value problem in electrical prospection
Communications on Pure and Applied Mathematics, v. 39, (1), 1986, p. 91-112
Sylvester, John; Uhlmann, Gunther Article
Inverse Boundary Value Problems
Proceedings VIII ELAM, Rio de Janeiro, July 14–25 1986, Partial Differential Equations, Lecture Notes in Mathematics, v. 1324, 1988, p. 320–328
Sylvester, John; Uhlmann, Gunther Conference paper
Product type conormal distributions in scattering theory
Dynamical Systems and Partial Differential Equations: Proceedings of the VII ELAM (Escuela Latinoamericana de Matematicas VII, Universidad Simon Bolivar, Caracas, 16-27 Junio 1984) / Edited by Lara-Carrero, Lorenzo & Jorge Lewowicz. Baldwin City, KS: Michener & Rutledge Booksellers, Inc.1986, p. 155-160
Uhlmann, Gunther Conference paper

1985 3

Scattering by a potential
Lecture Notes in Spanish, Acta Cientifica Venezolana, v. 36, 1985, p. 1-18
Uhlmann, Gunther Article
A boundary canonical transformation for a class of operators with double characteristics
Proceedings of the First Chilean Symposium on Mathematics, Lecture Notes in Pure and Appl. Math., Universidad Técnica Federico Santa María, Analysis Geometry and Probability, , v. 93, 1985, p. 53–68
Uhlmann, Gunther Conference paper
A functional calculus for a class of pseudodifferential operators with singular symbols
Proceedings of the Symposium on Pseudodifferential Operators and Fourier Integral Operators with Applications to Partial Differential Equations, Notre Dame, Indiana, April 2-5, 1984, Proceedings of Symposia in Pure Mathematics, v. 43, 1985, p. 5-16
Antoniano, José L.; Uhlmann, Gunther Conference paper

1984 2

A sufficient condition for local solvability for a class of operators with double characteristics
American Journal of Mathematics, v. 106, (1), 1984, p. 187-217
Mendoza, Gerardo A.; Uhlmann, Gunther Article
Singular asymptotics approach to partial differential equations with isolated singularities in the coefficients
Bulletin of the American Mathematical Society, v. 11, (1), 1984, p. 172-176
Callias, Constantine J.; Uhlmann, Gunther Article

1983 1

A necessary condition for local solvability for a class of operators with double characteristics
Journal of functional analysis, v. 52, (2), 1983, p. 252-256
Mendoza, Gerardo A.; Uhlmann, Gunther Article

1982 1

Light intensity distribution in conical refraction
Communications on Pure and Applied Mathematics, v.35, (1), 1982, p. 69-80
Uhlmann, Gunther Article

1981 1

Oscillatory integrals with singular symbols
Duke Mathematical Journal, v. 48, (1), 1981, p. 251-267
Guillemin, Victor; Uhlmann, Gunther Article

1979 3

Lagrangian intersection and the Cauchy problem
Communications on Pure and Applied Mathematics, v.32, (4), 1979, p. 483-519
Melrose, Richard B.; Uhlmann, Gunther Article
Microlocal structure of involutive conical refraction
Duke Mathematical Journal, v. 46, (3), 1979, p. 571-582
Melrose, Richard B.; Uhlmann, Gunther Article
Parametrices for operators with multiple involutive characteristics
Communications in Partial Differential Equations, v. 4, (7), 1979, p. 739-767
Uhlmann, Gunther Article

1977 1

Pseudo-differential operators with involutive double characteristics
Communications in Partial Differential Equations, v. 2, (7), 1977, p. 713-779
Uhlmann, Gunther Article


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2021-22 Winter 0 2021-22 Fall 0 2020-21 Summer 0 2020-21 Spring 1 2020-21 Winter 0 2020-21 Fall 0

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MATH5281 Partial Differential Equations


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All Projects 2

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Applied Inverse Problems (AIP) Conference 2021 Leading


Croucher Foundation


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UHLMANN Gunther (Lead)


2022 -




Inverse Problems


逆問題 Leading


RGC - General Research Fund


Project Team (HKUST)
UHLMANN Gunther (Lead)


2019 - 2021