DATE2022-10-27 16:10-17:00

PLACE數學系館 1F3174教室

SPEAKER林奕亘 教授(國立陽明交通大學應用數學系

TITLEThe Calder\’{o}n Problem for Nonlocal Parabolic Operators

ABSTRACT We investigate inverse problems in the determination of leading coefficients for nonlocal parabolic operators, by knowing the corresponding Cauchy data in the exterior space-time domain. The key contribution is that we reduce nonlocal parabolic inverse problems to the corresponding local inverse problems with the lateral boundary Cauchy data. In addition, we derive a new equation and offer a novel proof of the unique continuation property for this new equation. We also build both uniqueness and non-uniqueness results for both nonlocal isotropic and anisotropic parabolic Calder\'on problems, respectively. This is a joint work with Prof. Ching-Lung Lin and Prof. Gunther Uhlmann.