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Asymptotic Expansion of Transmission Eigenvalues for Anisotropic Thin Layers
- Source :
- Applicable Analysis, Applicable Analysis, In press
- Publication Year :
- 2023
- Publisher :
- HAL CCSD, 2023.
-
Abstract
- 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.
- Subjects :
- transmission eigenvalues thin layer asymptotic inverse scattering
thin layer asymptotic
Applied Mathematics
[INFO.INFO-NA] Computer Science [cs]/Numerical Analysis [cs.NA]
inverse scattering
[INFO.INFO-NA]Computer Science [cs]/Numerical Analysis [cs.NA]
Analysis
transmission eigenvalues
Subjects
Details
- Language :
- English
- ISSN :
- 00036811 and 1563504X
- Database :
- OpenAIRE
- Journal :
- Applicable Analysis, Applicable Analysis, In press
- Accession number :
- edsair.doi.dedup.....89ecd87862d2ebf9c18efe5c7334c37d