ncku-talk2022-10-27

Colloquium

DATE 2022-10-27　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）

TITLE The 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.

Colloquium

DATE	2022-10-27　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）

TITLE	The 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.