The uniqueness in the inverse problem for transmission eigenvalues for the spherically symmetric variable-speed wave equation

DOI10.1088/0266-5611/27/11/115004zbMath1231.35295arXiv1106.2843OpenAlexW1977765413MaRDI QIDQ3103929

Tuncay Aktosun, Drossos Gintides, Vassilis G. Papanicolaou

Publication date: 19 December 2011

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

Full work available at URL: https://arxiv.org/abs/1106.2843

zbMATH Keywords

inverse problemtransmission eigenvaluesspherically symmetric variable-speed wave equation

Mathematics Subject Classification ID

Inverse problems for PDEs (35R30) Wave equation (35L05) Uniqueness problems for PDEs: global uniqueness, local uniqueness, non-uniqueness (35A02)

Related Items (46)

Necessary and sufficient conditions for the density of transmission eigenvalues ⋮ On a transmission eigenvalue problem for a spherically stratified coated dielectric ⋮ A new approach to the inverse discrete transmission eigenvalue problem ⋮ The inverse discrete transmission eigenvalue problem for absorbing media ⋮ Uniqueness theorems for an impulsive Sturm-Liouville boundary value 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 ⋮ Inverse problem with transmission eigenvalues for the discrete Schrödinger equation ⋮ 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 ⋮ An inverse spectral analysis of transmission problem in thermo- and photo-acoustic tomography ⋮ On simple and interlaced property of the zeros of two entire functions ⋮ Stability in the inverse nodal solution for the interior transmission problem ⋮ On a local solvability and stability of the inverse transmission eigenvalue problem ⋮ Discontinuous Galerkin method for the interior transmission eigenvalue problem in inverse scattering theory ⋮ On recovering quadratic pencils with singular coefficients and entire functions in the boundary conditions ⋮ The existence of complex transmission eigenvalues for spherically stratified media ⋮ On the inverse spectral stability for the transmission eigenvalue problem with finite data ⋮ Uniqueness of the interior transmission problem with partial information on the potential and eigenvalues ⋮ The uniqueness for inverse discrete transmission eigenvalue problems ⋮ Inverse transmission eigenvalue problem for fixed angular momentum ⋮ Unnamed Item ⋮ Solution to the interior transmission problem using nodes on a subinterval as input data ⋮ A fixed energy fixed angle inverse scattering in interior transmission problem ⋮ 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 ⋮ Continuous dependence of the transmission eigenvalues in one dimension ⋮ The inverse interior transmission eigenvalue problem with mixed spectral data ⋮ 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 the partial inverse problems for the transmission eigenvalue problem of the Schrödinger operator ⋮ On certain translation invariant properties of interior transmission spectra and their Doppler's effect ⋮ Isospectral sets for transmission eigenvalue problem ⋮ On a regularization approach to the inverse transmission eigenvalue problem ⋮ Unique reconstruction of the potential for the interior transmission eigenvalue problem for spherically stratified media ⋮ On a non-uniqueness theorem of the inverse transmission eigenvalues problem for the Schrödinger operator on the half line ⋮ A uniqueness theorem on the eigenvalues of spherically symmetric interior transmission problem in absorbing medium ⋮ Spectral properties of exterior transmission problem for spherically stratified anisotropic media ⋮ A CMV-Based Eigensolver for Companion Matrices ⋮ Distribution of transmission eigenvalues and inverse spectral analysis with partial information on the refractive index ⋮ On the inverse spectral theory in a non-homogeneous interior transmission problem ⋮ The uniqueness for inverse discrete exterior transmission eigenvalue problems in spherically symmetric media ⋮ An uniqueness result with some density theorems with interior transmission eigenvalues ⋮ Fast and Backward Stable Computation of Roots of Polynomials

This page was built for publication: The uniqueness in the inverse problem for transmission eigenvalues for the spherically symmetric variable-speed wave equation