Spectral properties of the exterior transmission eigenvalue problem

DOI10.1088/0266-5611/30/10/105010zbMath1318.65075OpenAlexW2088748290MaRDI QIDQ2936493

David Colton, Shixu Meng

Publication date: 17 December 2014

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

Full work available at URL: https://semanticscholar.org/paper/30a2dc643a380c6c9537713c993816e1295a062e

zbMATH Keywords

spectral theoryHelmholtz equationinverse spectral probleminverse scatteringtransmission eigenvalues

Mathematics Subject Classification ID

Spectral, collocation and related methods for boundary value problems involving PDEs (65N35) Estimates of eigenvalues in context of PDEs (35P15) Scattering theory for PDEs (35P25) Laplace operator, Helmholtz equation (reduced wave equation), Poisson equation (35J05) Numerical methods for ill-posed problems for integral equations (65R30) Numerical methods for eigenvalue problems for boundary value problems involving PDEs (65N25) Numerical methods for inverse problems for boundary value problems involving PDEs (65N21) Inverse problems (including inverse scattering) in optics and electromagnetic theory (78A46)

Related Items (6)

Discreteness of the exterior transmission eigenvalues ⋮ The factorization method for a penetrable cavity scattering with interior near-field measurements ⋮ Boundary integral equations for the transmission eigenvalue problem for Maxwell's equations ⋮ Isospectral sets for transmission eigenvalue problem ⋮ Spectral properties of exterior transmission problem for spherically stratified anisotropic media ⋮ The uniqueness for inverse discrete exterior transmission eigenvalue problems in spherically symmetric media

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