Special Session 127: Recent Advances in Inverse Problems, Imaging, and Their Applications

INVERSE PROBLEMS FOR NON-LINEAR FRACTIONAL MAGNETIC SCHRODINGER EQUATIONS
Ting Zhou
Zhejiang University
Peoples Rep of China
Co-Author(s):    Ting Zhou and Ru-Yu Lai
Abstract:
This talk focus on the forward problem and inverse problem for the fractional magnetic Schrodinger equation with nonlinear electric potential. We first investigate the maximum principle for the linearized equation and apply it to show that the problem is well-posed under suitable assumptions on the exterior data. Moreover, we explore uniqueness of recovery of both magnetic and electric potentials.