On the partial inverse problems for the transmission eigenvalue problem of the Schrödinger operator

DOI10.1007/s00025-021-01395-5zbMath1472.34031OpenAlexW3140480206MaRDI QIDQ2038629

Yanyan Li

Publication date: 7 July 2021

Published in: Results in Mathematics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s00025-021-01395-5

zbMATH Keywords

partial inverse problemtransmission eigenvalue

Mathematics Subject Classification ID

Particular ordinary differential operators (Dirac, one-dimensional Schrödinger, etc.) (34L40) Inverse problems involving ordinary differential equations (34A55) Eigenvalues, estimation of eigenvalues, upper and lower bounds of ordinary differential operators (34L15)

Related Items (1)

Unnamed Item

Cites Work

• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Reconstruction of the refractive index from transmission eigenvalues for spherically stratified media
• A partial inverse problem for the Sturm-Liouville operator on the lasso-graph
• Partial inverse problems for the Sturm-Liouville operator on a star-shaped graph with different edge lengths
• Uniqueness of the interior transmission problem with partial information on the potential and eigenvalues
• On the uniqueness of a spherically symmetric speed of sound from transmission eigenvalues
• A partial inverse problem for the Sturm-Liouville operator on a star-shaped graph
• The inverse interior transmission eigenvalue problem with mixed spectral data
• On a non-uniqueness theorem of the inverse transmission eigenvalues problem for the Schrödinger operator on the half line
• On an inverse transmission problem from complex eigenvalues
• On the inverse spectral theory of Schrödinger and Dirac operators
• A uniqueness theorem from partial transmission eigenvalues and potential on a subdomain
• Reconstruction of the wave speed from transmission eigenvalues for the spherically-symmetric variable-speed wave equation
• Transmission eigenvalues for the self-adjoint Schrödinger operator on the half line
• The uniqueness in the inverse problem for transmission eigenvalues for the spherically symmetric variable-speed wave equation
• An Inverse Sturm–Liouville Problem with Mixed Given Data
• Reconstruction of a Spherically Symmetric Speed of Sound
• On a local solvability and stability of the inverse transmission eigenvalue problem
• Partial inverse problems for the Sturm‐Liouville equation with deviating argument
• Inverse spectral analysis with partial information on the potential, II. The case of discrete spectrum
• On a regularization approach to the inverse transmission eigenvalue problem
• On the direct and inverse transmission eigenvalue problems for the Schrödinger operator on the half line
• Partial inverse nodal problems for differential pencils on a star‐shaped graph
• Unique reconstruction of the potential for the interior transmission eigenvalue problem for spherically stratified media
• Estimates of complex eigenvalues and an inverse spectral problem for the transmission eigenvalue problem
• Distribution of complex transmission eigenvalues for spherically stratified media
• On the inverse spectral theory in a non-homogeneous interior transmission problem
• On an open question in the inverse transmission eigenvalue problem
• Inverse spectral analysis for the transmission eigenvalue problem
• Distribution of transmission eigenvalues and inverse spectral analysis with partial information on the refractive index

This page was built for publication: On the partial inverse problems for the transmission eigenvalue problem of the Schrödinger operator