The Calderón Problem for Variable Coefficients Nonlocal Elliptic Operator

Abstract

In this talk, the speaker and his collaborators introduce an inverse problem of a variable anisotropic fractional Schrödinger operator. They determine the unknown bounded potential from the exterior partial measurements associated with the nonlocal Dirichlet-to-Neumann map for any dimension greater or equal to 2. Their results generalize the recent result from Ghosh-Salo-Uhlmann of introducing and solving inverse problem for fractional Schrödinger equation. They also prove some regularity results of the direct problem corresponding to the variable coefficients fractional differential operator and the associated degenerate elliptic operator. This is a joint work with Tuhin Ghosh and Jingni Xiao.

About the speaker

Dr. Lin Yi-Hsuan obtained his PhD from National Taiwan University in 2016. He then spent a half year at the HKUST Jockey Club Institute for Advanced Study of the Hong Kong University of Science and Technology as a Postdoctoral Fellow. He is currently a Postdoctoral Fellow at the Department of Mathematics in the University of Washington, under the supervision of Prof. Gunther Uhlmann.

Dr. Lin's research is mainly focused on partial differential equations, inverse problems and nonlocal equations.

About the program

For more information, please refer to the program website http://iasprogram.ust.hk/inverseproblems for details.