The inverse scattering problem for an inhomogeneous two-layered cavity-Reference-Cited by-同舟云学术

The inverse scattering problem for an inhomogeneous two-layered cavity

Published:2023-05-03 Issue:0 Volume:0 Page:
ISSN:0928-0219
Container-title:Journal of Inverse and Ill-posed Problems
language:en
Short-container-title:

Author:

Ye Jianguo¹,Yan Guozheng²^ORCID

Affiliation:

1. Research Center of Modern Mathematics and its Application , School of Mathematics and Statistics , Kashi University , Kashi 844000 , P. R. China

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

Abstract

Abstract In this paper, we consider the inverse scattering problem of identifying a two-layered cavity by internal acoustic measurements under the condition that the interior interface has a mixed transmission boundary condition. We focus on the mathematical analysis of recovering the shape of the interior interface by using the linear sampling method, including reconstructing the surface conductivity by the same measurements.

Funder

Natural Science Foundation of Xinjiang Province

National Natural Science Foundation of China

Publisher

Walter de Gruyter GmbH

Subject

Applied Mathematics

Link

https://www.degruyter.com/document/doi/10.1515/jiip-2021-0006/pdf

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