Daniela De Silva
Professor of Mathematics,?Chair of the Department of Mathematics
Department
Mathematics
Office
518 Mathematics Building on Columbia campus
By appointment
Contact
212-854-5135
desilva@math.columbia.edu
CV
Daniela De Silva's CV
Back to Faculty
Daniela De Silva, professor of mathematics, joined the faculty of Barnard in 2007. Formerly, she was a member of the Mathematical Sciences Research Institute in Berkeley. Professor De Silva has also taught at John Hopkins, MIT, and the University of Naples "Federico II". At Barnard, her teaching duties include Calculus and Analysis.
Professor De Silva's primary research area is partial differential equations. She is particularly interested in the regularity theory for free boundary/phase transition problems.
Professor De Silva is the organizer of the Geometry and Analysis seminar at Columbia University.
B.A., University of Naples Federico II
Ph.D., Massachusetts Institute of Technology
Partial differential equations
Harmonic analysis
"Gradient bound for energy minimizing free boundary graphs", (with D. Jerison),Comm. on Pure and Applied Math., Volume 64, Issue 4 (2011), 538–555.
"Minimizers of convex functionals arising in random surfaces," (with O. Savin),Duke Math. J.,Volume 151, Number 3 (2010), 487-532.
"Rearrangements and Radial Graphs of Constant Mean Curvature in Hyperbolic Space" (with J. Spruck),Calculus of Variations and PDEs,34 no. 1, 73--95.
"A Singular Energy Minimizing Free Boundary" (with D. Jerison),J. Reine Angew. Math.,Vol. 2009 Issue 635, 1--22.
"Existence and Regularity of Monotone Solutions to a Free Boundary Problem,"Amer. J. of Math., 131, no. 2, 351--378.
"Bernstein-Type Techniques for 2D Free Boundary Graphs,"Math.Z., 260, no. 1, 47--60.
"Symmetry of Global Solutions to a Class of Fully Nonlinear Elliptic Equations in 2D" (with O. Savin),Indiana Univ. Math. J., 2009; 58 (1), 301--315.
"Global Well-Posedness and Polynomial Bounds for the Defocusing L2-Critical Nonlinear Schr?dinger Equation in R" (with N. Pavlovic, G. Staffilani and N. Tzirakis),Comm. in PDEs, Vol. 33 (2008), n. 8, 1395--1429(35).
"Low Regularity Solutions for a 2D Quadratic Non-Linear Schr?dinger Equation" (with I. Bejenaru),Trans. of AMS, 360 (2008), 5805-5830.
"Global Well-Posedness for a Periodic Nonlinear Schr?dinger Equation in 1D and 2D" (with N. Pavlovic, G. Staffilani and N. Tzirakis),Discrete Contin. Dyn.Syst.19 (2007)
"Global Well-Posedness for the L2 Critical Nonlinear Schr?dinger Equation in Higher Dimensions" (with N. Pavlovic, G. Staffilani and N. Tzirakis),Commun. Pure Appl. Anal.6 (2007)
"Some Remarks on Nonlinear Elliptic Equations and Applications to Hamilton-Jacobi Equations" (with C. Trombetti),C.R. Acad. Sci. Paris, t. 333, Serie I, (2001)