Convexification Numerical Method for a Coefficient Inverse Problem for the Riemannian Radiative Transfer Equation

Abstract

The convexification method of the presenter is the single numerical method with the global convergence property for coefficient inverse problems with non-overdetermined data. It is applicable to a broad class of Coefficient Inverse Problems. The key is the Carleman Weight Function, which is involved in the resulting cost functional. The speaker will present this method for a Coefficient Inverse Problem for the radiative transport equation (co-authors Professor Jingzhi Li and Doctor Zhipeng Zhang). Next, he will present both Holder and Lipschitz stability estimates for a Coefficient Inverse Problem for the parabolic equation with the final overdetermination. Finally, he will present Lipschitz stability estimate for a problem of Mean Field Games. If time will allow, then he will discuss other results, which they have recently obtained for other problems of mean field games (see his five most recent preprints at https://arxiv.org/search/?query=Klibanov&searchtype=all&source=header).

For Attendees' Attention

This talk is hosted by the Department of Mathematics of the City University of Hong Kong and will be held online via Zoom. Please register in advance for this talk at https://cityu.zoom.us/meeting/register/tJIudOCoqDojEtTSnmFHPxvZSVuBmAmeOPSn. Zoom link will be provided via email after registration.

About the Program

For more information, please refer to the program website at https://iasprogram.hkust.edu.hk/inverseproblems/.