Stability for the electromagnetic inverse source problem in inhomogeneous media-Reference-Cited by-同舟云学术

Stability for the electromagnetic inverse source problem in inhomogeneous media

Published:2022-05-31 Issue:0 Volume:0 Page:
ISSN:0928-0219
Container-title:Journal of Inverse and Ill-posed Problems
language:en
Short-container-title:

Author:

Zhao Yue¹

Affiliation:

1. School of Mathematics and Statistics , Central China Normal University , Wuhan 430079 , P. R. China

Abstract

Abstract This paper is concerned with the stability of the inverse source problem for Maxwell’s equations in an inhomogeneous background medium. We show that 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.

Publisher

Walter de Gruyter GmbH

Subject

Applied Mathematics

Link

https://www.degruyter.com/document/doi/10.1515/jiip-2020-0075/pdf

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