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余渊洋 博士：The concentration behavior of ground state solutions for nonlinear Dirac equation

本站小编 Free考研考试/2021-12-26


Academy of Mathematics and Systems Science, CAS
Colloquia & Seminars
Speaker: 余渊洋 博士, 清华大学
Inviter:
Title:
 The concentration behavior of ground state solutions for nonlinear Dirac equation
Time & Venue:
 2021.11.20 15:40-16:25 腾讯会议 628 746 726
Abstract:
 In this talk, we consider the following nonlinear Dirac equation


where ε>0 is a small parameter, a>0 is a constant, α_1,α_2,α_3 and βare 4×4 Pauli-Dirac matrices, V ,Kand fare continuous but are not necessarily of class . We prove the existence of ground state solution by using variational methods, and we determine a concrete set related to the potentials V and K as the concentration position of these ground state solutions as ε→0. Moreover, we consider some properties of these ground state solutions, such as convergence and exponential decay estimate.

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