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Journal Articles Applicable Analysis Year : 2023

Asymptotic Expansion of Transmission Eigenvalues for Anisotropic Thin Layers

Abstract

We study the asymptotic expansion of transmission eigenvalues for anisotropic thin layers. We establish a rigorous second order expansion for simple transmission eigenvalues with respect to the thickness of the layer. The convergence analysis is based on a generalization of Osborn's Theorem to non-linear eigenvalue problems by Moskow [19]. We also provide formal derivation in more general cases validating the obtained theoretical result.
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hal-03876855 , version 1 (28-11-2022)
hal-03876855 , version 2 (16-01-2023)

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Hanen Boujlida, Houssem Haddar, Moez Khenissi. Asymptotic Expansion of Transmission Eigenvalues for Anisotropic Thin Layers. Applicable Analysis, 2023, pp.1-22. ⟨10.1080/00036811.2023.2187788⟩. ⟨hal-03876855v2⟩
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