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Inverse Obstacle and Diffraction Grating Scattering Problems

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Spectral Geometry and Inverse Scattering Theory

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Abstract

We first consider the inverse acoustic obstacle problem. Let \(k=\omega /c\in \mathbb {R}_+\) be the wavenumber of a time harmonic wave with \(\omega \in \mathbb {R}_+\) and \(c\in \mathbb {R}_+\) signifying the frequency and sound speed, respectively.

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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

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  1. Huaian Diao
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  2. Hongyu Liu
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Diao, H., Liu, H. (2023). Inverse Obstacle and Diffraction Grating Scattering Problems. In: Spectral Geometry and Inverse Scattering Theory. Springer, Cham. https://doi.org/10.1007/978-3-031-34615-6_4

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