Speaker: 李力，清华大学丘成桐数学科学中心          

Inviter: 符松韧

Title: Unique determination results for the Calderón type inverse problems 

Language: Chinese 

Time & Venue: 2024.12.16 10:00-10:30  N224

Abstract: I will first introduce the classical and fractional Calderón problems. Then I will focus on two inverse problems for fractional parabolic equations with power type nonlinearities. Both can be viewed as evolutionary and nonlinear variants of the fractional Calderón problem. The goal is to uniquely determine nonlinearities/coefficients in fractional equations from exterior partial measurements of the Dirichlet-to-Neumann map. The approach relies on the unique continuation property of the fractional operator as well as the linearization technique.