Weyl asymptotics of the transmission eigenvalues for a constant index of refraction

DOI10.3934/ipi.2014.8.795zbMath1432.35155arXiv1309.3616OpenAlexW2963107861MaRDI QIDQ479888

Plamen D. Stefanov, Ha Thanh Pham

Publication date: 5 December 2014

Published in: Inverse Problems and Imaging (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1309.3616

zbMATH Keywords

scatteringspectral theoryasymptotic distribution of eigenvaluesinterior transmission probleminterior transmission eigenvalue

Mathematics Subject Classification ID

Boundary value problems for higher-order elliptic equations (35J40) Scattering theory for PDEs (35P25) Asymptotic distributions of eigenvalues in context of PDEs (35P20) Eigenvalue problems for linear operators (47A75) Laplace operator, Helmholtz equation (reduced wave equation), Poisson equation (35J05) Boundary value problems for second-order elliptic systems (35J57)

Related Items (10)

Location and Weyl Formula for the Eigenvalues of Some Non Self-Adjoint Operators ⋮ On a transmission eigenvalue problem for a spherically stratified coated dielectric ⋮ Transmission eigenvalues for strictly concave domains ⋮ High-frequency approximation of the interior Dirichlet-to-Neumann map and applications to the transmission eigenvalues ⋮ Sharp Weyl Law for Signed Counting Function of Positive Interior Transmission Eigenvalues ⋮ Counting function for interior transmission eigenvalues ⋮ Localization of the interior transmission eigenvalues for a ball ⋮ Transmission eigenvalue-free regions ⋮ The Weyl law of transmission eigenvalues and the completeness of generalized transmission eigenfunctions ⋮ Spectral properties of the inner eigenvalues of transmission

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