Report title: An inverse potential problem for subdiffusion

Reporter: Professor Jin Bangti University College London, UK

Reporting time: December 31, 2020, 10:00-11:00 am

Report location: Tencent Conference ID: 665 758 379

       Conference password: 123120

       Click the link to join the conference, or add to the conference list:

       https://meeting.tencent.com/s/94YUABYMae3Z

School contact: Zhang Kai zhangkaimath@mail.jlu.edu.cn

Report summary:

Subdiffusion arises in many physical and engineering applications, and is often modeled by a parabolic type equation with a Caputo fractional derivative in time. In this talk, we discuss a nonlinear inverse problem of recovering the potential term from the final time measurement. We discuss the local stability property via linearization and numerical reconstruction via fixed point algorithm.

Brief introduction of the speaker:

Prof. Bangti Jin received Ph.D. degree in applied mathematics from the Chinese University of Hong Kong, Hong Kong, in 2008. Previously, he was an assistant Professor of mathematics at University of California, Riverside (2013-2014), a visiting assistant professor at Texas A&M University (2010-2013), an Alexandre von Humboldt Postdoctoral Researcher at the University of Bremen (2009-2010). He is currently a Professor in inverse problems in the Department of Computer Science, University College London, London, UK His research interests include computational inverse problems and numerical analysis of differential equations.