Inverse spectral problems of transmission eigenvalue problem for anisotropic media with spherical symmetry assumptions

DOI10.1515/jiip-2016-0007zbMath1366.34028OpenAlexW2330790783MaRDI QIDQ522945

Chuan-Fu Yang, Xiao-Chuan Xu, Sergey Buterin

Publication date: 20 April 2017

Published in: Journal of Inverse and Ill-Posed Problems (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1515/jiip-2016-0007

zbMATH Keywords

inverse spectral problemsSturm-Liouville operatorsreconstruction algorithmtransmission eigenvalues

Mathematics Subject Classification ID

Sturm-Liouville theory (34B24) General theory of ordinary differential operators (47E05) Inverse problems involving ordinary differential equations (34A55) Scattering theory, inverse scattering involving ordinary differential operators (34L25)

Related Items

Application of machine learning regression models to inverse eigenvalue problems ⋮ Spectral properties of exterior transmission problem for spherically stratified anisotropic media

Cites Work

• Unnamed Item
• A qualitative approach to inverse scattering theory
• On the interior transmission eigenvalue problem
• On the uniqueness of a spherically symmetric speed of sound from transmission eigenvalues
• Reconstruction of the wave speed from transmission eigenvalues for the spherically-symmetric variable-speed wave equation
• The uniqueness in the inverse problem for transmission eigenvalues for the spherically symmetric variable-speed wave equation
• Reconstruction Techniques for Classical Inverse Sturm-Liouville Problems
• Recent Developments in Inverse Acoustic Scattering Theory
• Distribution of complex transmission eigenvalues for spherically stratified media
• On an open question in the inverse transmission eigenvalue problem
• Complex eigenvalues and the inverse spectral problem for transmission eigenvalues

This page was built for publication: Inverse spectral problems of transmission eigenvalue problem for anisotropic media with spherical symmetry assumptions