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Inverse Problem for a Structural Acoustic System with Variable Coefficients

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Abstract

We consider stability in an inverse problem of determining the material coefficient matrix for a coupled system that describes acoustic interactions, by the Riemannian geometrical approach. The stability is proved by the Carleman estimates and observability inequalities.

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Acknowledgements

The research was supported by National Natural Science Foundation (NNSF) of China under Grant No. 12071463. The authors would also like to thank the anonymous referees for many useful suggestions that lead to a better presentation of the paper.

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Authors and Affiliations

  1. Key Laboratory of Systems and Control, Institute of Systems Science, Academy of Mathematics and Systems Science, Chinese Academy of Sciences, Beijing, 100190, People’s Republic of China

    Song-Ren Fu

  2. School of Mathematical Sciences, Shanxi University, Taiyuan, 030006, People’s Republic of China

    Peng-Fei Yao

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  1. Song-Ren Fu
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Correspondence to Peng-Fei Yao.

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Fu, SR., Yao, PF. Inverse Problem for a Structural Acoustic System with Variable Coefficients. J Geom Anal 33, 139 (2023). https://doi.org/10.1007/s12220-023-01194-0

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  • DOI: https://doi.org/10.1007/s12220-023-01194-0

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