ASYMPTOTIC EXPANSION OF TRANSMISSION EIGENVALUES FOR ANISOTROPIC THIN LAYERS - Archive ouverte HAL
Pré-Publication, Document De Travail (Preprint/Prepublication) Année : 2022

ASYMPTOTIC EXPANSION OF TRANSMISSION EIGENVALUES FOR ANISOTROPIC THIN LAYERS

Résumé

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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Dates et versions

hal-03876855 , version 1 (28-11-2022)
hal-03876855 , version 2 (16-01-2023)

Identifiants

  • HAL Id : hal-03876855 , version 1

Citer

Hanen Boujlida, Houssem haddar, Moez Khenissi. ASYMPTOTIC EXPANSION OF TRANSMISSION EIGENVALUES FOR ANISOTROPIC THIN LAYERS. 2022. ⟨hal-03876855v1⟩
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