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On the Local Solvability and Stability for the Inverse Spectral Problem of the Generalized Dirichlet—Regge Problem

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Abstract

For the generalized Dirichlet—Regge problem with complex coefficients, we prove the local solvability and stability for the inverse spectral problem, which indicates an improved result of the previous work ([Journal of Geometry and Physics, 159, 103936 (2021)]).

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Acknowledgements

The authors would like to thank the referee for the insightful comments and helpful suggestions.

Funding

Supported by NSFC (Grant No. 11901304), and Russian Foundation for Basic Research (Grant Nos. 20-31-70005 and 19-01-00102)

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Authors and Affiliations

  1. School of Mathematics and Statistics, Nanjing University of Information Science and Technology, Nanjing, 210044, P. R. China

    Xiao Chuan Xu

  2. Department of Applied Mathematics and Physics, Samara National Research University, Moskovskoye Shosse 34, Samara, 443086, Russia

    Natalia Pavlovna Bondarenko

  3. Department of Mechanics and Mathematics, Saratov State University, Astrakhanskaya 83, Saratov, 410012, Russia

    Natalia Pavlovna Bondarenko

Authors
  1. Xiao Chuan Xu
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  2. Natalia Pavlovna Bondarenko
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Correspondence to Xiao Chuan Xu.

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Xu, X.C., Bondarenko, N.P. On the Local Solvability and Stability for the Inverse Spectral Problem of the Generalized Dirichlet—Regge Problem. Acta. Math. Sin.-English Ser. 38, 1229–1240 (2022). https://doi.org/10.1007/s10114-022-1103-9

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  • DOI: https://doi.org/10.1007/s10114-022-1103-9

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