Academy of Mathematics and Systems Science, CAS
Colloquia & Seminars

Speaker:	Professor Ting Wei,Lanzhou University
Inviter:	Professor Yifa Tang
Title:	Inverse problems for time-fractional diffusion-wave equations
Language:	Chinese
Time & Venue:	2023.08.10 10:00-11:30 Tencent Meeting:153-774-507
Abstract:	In this talk, I will give a brief introduction to some inverse problems for time-fractional diffusion-wave equations and talk about some recent results on this topic. Furthermore, an inverse time-dependent zeroth-order coefficient for a time-fractional diffusion-wave equation by using the boundary measured data at a point will be introduced in detail. The existence, uniqueness and regularity of the solution for the direct problem are provided. Based those, we try to give a uniqueness and conditional stability estimate for the inverse zeroth-order coefficient problem. The Levenberg-Marquardt regularization method is proposed to solve the inverse coefficient problem. Some numerical examples in one-dimensional case or in two-dimensional case are provided to show the effectiveness of the proposed method.