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The inverse scattering problem for an inhomogeneous two-layered cavity

  • Jianguo Ye and Guozheng Yan ORCID logo EMAIL logo

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.

Award Identifier / Grant number: 2019D01A05

Award Identifier / Grant number: 11571132

Funding statement: The work was supported by the Natural Science Foundation of Xinjiang Uygur Autonomous Region of China (No. 2019D01A05), and by National Natural Science Foundation of China (No. 11571132).

Acknowledgements

The authors thank the referees for their valuable comments and suggestions that helped improve the paper.

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Received: 2021-01-15
Revised: 2022-11-05
Accepted: 2023-03-11
Published Online: 2023-05-03
Published in Print: 2024-04-01

© 2023 Walter de Gruyter GmbH, Berlin/Boston

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