Special Session 129: Inverse problems for nonlocal / nonlinear PDEs

Inverse problems for subdiffusion with an unknown terminal time

Bangti Jin
The Chinese University of Hong Kong
Hong Kong
Co-Author(s):    
Abstract:
Inverse problems of recovering space-dependent parameters, e.g., initial condition, space-dependent source, or potential coefficient in a subdiffusion model from the terminal observation are classical. However, all existing studies have assumed that the terminal time at which one takes the observation is exactly known. In this talk, we present uniqueness and stability results for three canonical inverse problems, e.g., backward problem, inverse source, and inverse potential problems from the terminal observation at an unknown time. We show the uniqueness and stability of the inverse problems and also present numerical illustrations of the behavior of the inverse problem.