Transmission eigenvalues in one dimension

DOI10.1088/0266-5611/29/10/104009zbMath1294.34079arXiv1305.0733OpenAlexW2091702770MaRDI QIDQ5406717

John Sylvester

Publication date: 2 April 2014

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

Full work available at URL: https://arxiv.org/abs/1305.0733

zbMATH Keywords

eigenvalueconstant index of refractionone dimensional interior transmission problem

Mathematics Subject Classification ID

Scattering theory, inverse scattering involving ordinary differential operators (34L25) Eigenvalues, estimation of eigenvalues, upper and lower bounds of ordinary differential operators (34L15)

Related Items (11)

Location and Weyl Formula for the Eigenvalues of Some Non Self-Adjoint Operators ⋮ On a transmission eigenvalue problem for a spherically stratified coated dielectric ⋮ High-frequency approximation of the interior Dirichlet-to-Neumann map and applications to the transmission eigenvalues ⋮ Stability in the inverse nodal solution for the interior transmission problem ⋮ Uniqueness of the interior transmission problem with partial information on the potential and eigenvalues ⋮ Complex transmission eigenvalues in one dimension ⋮ Weyl asymptotics of the transmission eigenvalues for a constant index of refraction ⋮ Localization of the interior transmission eigenvalues for a ball ⋮ Continuous dependence of the transmission eigenvalues in one dimension ⋮ Solvability of interior transmission problem for the diffusion equation by constructing its Green function ⋮ Transmission eigenvalue-free regions

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