The existence of complex transmission eigenvalues for spherically stratified media

DOI10.1080/00036811.2016.1210788zbMath1360.35123OpenAlexW2502563214WikidataQ58302222 ScholiaQ58302222MaRDI QIDQ2965786

Yuk-J. Leung, David Colton

Publication date: 3 March 2017

Published in: Applicable Analysis (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1080/00036811.2016.1210788

zbMATH Keywords

spectral theoryinverse scatteringcomplex transmission eigenvalues

Mathematics Subject Classification ID

General topics in linear spectral theory for PDEs (35P05) Scattering theory for PDEs (35P25) Inverse problems for PDEs (35R30)

Related Items (10)

Necessary and sufficient conditions for the density of transmission eigenvalues ⋮ Stability of the inverse transmission eigenvalue problem for the Schrödinger operator with a radial potential ⋮ On the inverse spectral stability for the transmission eigenvalue problem with finite data ⋮ Unnamed Item ⋮ Shape Optimization for Interior Neumann and Transmission Eigenvalues ⋮ The method of fundamental solutions for computing acoustic interior transmission eigenvalues ⋮ A note on transmission eigenvalues in electromagnetic scattering theory ⋮ A duality between scattering poles and transmission eigenvalues in scattering theory ⋮ Transmission eigenvalues and the Riemann zeta function in scattering theory for automorphic forms on Fuchsian groups of type I ⋮ A perturbation problem for transmission eigenvalues

Cites Work

• On a transmission eigenvalue problem for a spherically stratified coated dielectric
• A qualitative approach to inverse scattering theory
• The interior transmission problem
• On the uniqueness of a spherically symmetric speed of sound from transmission eigenvalues
• The linear sampling method for sparse small aperture data
• The interior transmission eigenvalue problem for absorbing media
• Complex transmission eigenvalues for spherically stratified media
• The uniqueness in the inverse problem for transmission eigenvalues for the spherically symmetric variable-speed wave equation
• THE INVERSE SCATTERING PROBLEM FOR TIME-HARMONIC ACOUSTIC WAVES IN AN INHOMOGENEOUS MEDIUM
• The Interior Transmission Eigenvalue Problem
• Distribution of complex transmission eigenvalues for spherically stratified media
• Transmission eigenvalues
• Complex eigenvalues and the inverse spectral problem for transmission eigenvalues
• Toward a time domain approach to the linear sampling method
• An introduction to the mathematical theory of inverse problems

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