The interior transmission eigenvalue problem for absorbing media

DOI10.1088/0266-5611/28/4/045005zbMath1298.78019OpenAlexW2059556930MaRDI QIDQ2882699

David Colton, Fioralba Cakoni, Houssem Haddar

Publication date: 7 May 2012

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

Full work available at URL: https://semanticscholar.org/paper/9dca216eb24081bf1642f74a81a1b22ff159f8f1

zbMATH Keywords

absorbing mediainterior transmission eigenvalue problem

Mathematics Subject Classification ID

Inverse problems for PDEs (35R30) Laplace operator, Helmholtz equation (reduced wave equation), Poisson equation (35J05) 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)

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Transmission eigenvalue problem for inhomogeneous absorbing media with mixed boundary condition ⋮ The inverse discrete transmission eigenvalue problem for absorbing media ⋮ An inverse spectral analysis of transmission problem in thermo- and photo-acoustic tomography ⋮ The interior transmission eigenvalue problem for an anisotropic medium by a partially coated boundary ⋮ The existence of complex transmission eigenvalues for spherically stratified media ⋮ A fixed energy fixed angle inverse scattering in interior transmission problem ⋮ An inverse uniqueness on the index of refraction with a transition region ⋮ Inverse uniqueness in interior transmission problem and its eigenvalue tunneling in simple domain ⋮ On certain translation invariant properties of interior transmission spectra and their Doppler's effect ⋮ The inverse scattering problem for a conductive boundary condition and transmission eigenvalues ⋮ A uniqueness theorem on the eigenvalues of spherically symmetric interior transmission problem in absorbing medium ⋮ On the inverse spectral theory in a non-homogeneous interior transmission problem ⋮ An uniqueness result with some density theorems with interior transmission eigenvalues

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