Research-Stability for an inverse source problem in an inhomogeneous medium

Research

Computational & Applied Math Seminar

Stability for an inverse source problem in an inhomogeneous medium

Speaker: Yue Zhao (Central China Normal University)
Time: Dec 27, 2022, 10:00-11:00
Location: Tencent Meeting ID 513-355-653, Passcode 221227

Abstract

In this talk, we show the stability of the inverse source problem for the three-dimensional Helmholtz equation in an inhomogeneous background medium. The stability estimate consists of the Lipschitz type data discrepancy and the high frequency tail of the source function, where the latter decreases as the upper bound of the frequency increases. The analysis employs scattering theory to obtain the holomorphic domain and an upper bound for the resolvent of the elliptic operator.