Asymptotic Expansion of Transmission Eigenvalues for Anisotropic Thin Layers
| Autor: | H. Boujlida, H. Haddar, M. Khenissi |
|---|---|
| Přispěvatelé: | Ecole Supérieure des Sciences et de Technologie de Hammam Sousse (ESSTHS), Inversion of Differential Equations For Imaging and physiX (IDEFIX), Inria Saclay - Ile de France, Institut National de Recherche en Informatique et en Automatique (Inria)-Institut National de Recherche en Informatique et en Automatique (Inria)-Unité de Mathématiques Appliquées (UMA), École Nationale Supérieure de Techniques Avancées (ENSTA Paris)-École Nationale Supérieure de Techniques Avancées (ENSTA Paris), Haddar, Houssem |
| Jazyk: | angličtina |
| Rok vydání: | 2023 |
| Předmět: | |
| Zdroj: | Applicable Analysis Applicable Analysis, In press |
| ISSN: | 0003-6811 1563-504X |
| Popis: | International audience; 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. |
| Databáze: | OpenAIRE |
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