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Stability for Inverse Acoustic Obstacle Scattering Problems

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Spectral Geometry and Inverse Scattering Theory

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Abstract

In this chapter, we present the quantitative path argument in deriving sharp stability estimates for the inverse acoustic obstacle problems with a single or a few far-field measurements. We follow the treatment in [15].

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Notes

  1. 1.

    Part of this chapter is reproduced from H. Liu, M. Petrini, L. Rondi and J. **ao, Stable determination of sound-hard polyhedral scatterers by a minimal number of scattering measurements, J. Differential Equations, 262(3) (2017), 1631–1670. Copyright Ⓒ 2017 Elsevier Masion SAS. All right reserved.

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Authors and Affiliations

  1. School of Mathematics, Jilin University, Changchun, China

    Huaian Diao

  2. Department of Mathematics, City University of Hong Kong, Hong Kong, China

    Hongyu Liu

Authors
  1. Huaian Diao
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  2. Hongyu Liu
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Diao, H., Liu, H. (2023). Stability for Inverse Acoustic Obstacle Scattering Problems. In: Spectral Geometry and Inverse Scattering Theory. Springer, Cham. https://doi.org/10.1007/978-3-031-34615-6_6

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