On an open question in the inverse transmission eigenvalue problem

DOI10.1088/0266-5611/31/4/045003zbMath1318.34025OpenAlexW2029204312MaRDI QIDQ5260917

Chuan-Fu Yang, Vjacheslav Anatoljevich Yurko, Sergey Buterin

Publication date: 30 June 2015

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

Full work available at URL: https://doi.org/10.1088/0266-5611/31/4/045003

zbMATH Keywords

inverse spectral problemSturm-Liouville equationtransmission eigenvalue problem

Mathematics Subject Classification ID

Sturm-Liouville theory (34B24) Inverse problems involving ordinary differential equations (34A55) Eigenvalues, estimation of eigenvalues, upper and lower bounds of ordinary differential operators (34L15)

Related Items (22)

Necessary and sufficient conditions for the density of transmission eigenvalues ⋮ A new approach to the inverse discrete transmission eigenvalue problem ⋮ Uniqueness of a spherically symmetric refractive index from modified transmission eigenvalues ⋮ On an inverse transmission problem from complex eigenvalues ⋮ Inverse transmission eigenvalue problems for the Schrödinger operator with the Robin boundary condition ⋮ On the stability of the inverse transmission eigenvalue problem from the data of McLaughlin and Polyakov ⋮ Stability of the inverse transmission eigenvalue problem for the Schrödinger operator with a radial potential ⋮ On vanishing and localizing of transmission eigenfunctions near singular points: a numerical study ⋮ On simple and interlaced property of the zeros of two entire functions ⋮ On a local solvability and stability of the inverse transmission eigenvalue problem ⋮ Application of machine learning regression models to inverse eigenvalue problems ⋮ On the inverse spectral stability for the transmission eigenvalue problem with finite data ⋮ Inverse transmission eigenvalue problem for fixed angular momentum ⋮ Reconstruction of the refractive index from transmission eigenvalues for spherically stratified media ⋮ Inverse spectral problems of transmission eigenvalue problem for anisotropic media with spherical symmetry assumptions ⋮ Inverse transmission eigenvalue problems with the twin-dense nodal subset ⋮ The inverse interior transmission eigenvalue problem with mixed spectral data ⋮ On the partial inverse problems for the transmission eigenvalue problem of the Schrödinger operator ⋮ Isospectral sets for transmission eigenvalue problem ⋮ On a regularization approach to the inverse transmission eigenvalue problem ⋮ On a non-uniqueness theorem of the inverse transmission eigenvalues problem for the Schrödinger operator on the half line ⋮ Distribution of transmission eigenvalues and inverse spectral analysis with partial information on the refractive index

This page was built for publication: On an open question in the inverse transmission eigenvalue problem