Isospectral sets for transmission eigenvalue problem

DOI10.1515/jiip-2018-0058zbMath1437.34027OpenAlexW2972929608WikidataQ127243318 ScholiaQ127243318MaRDI QIDQ2301653

Sergey Buterin, Chuan-Fu Yang

Publication date: 25 February 2020

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-2018-0058

zbMATH Keywords

inverse spectral problemtransmission eigenvalueisospectral set

Mathematics Subject Classification ID

Inverse problems involving ordinary differential equations (34A55) Scattering theory, inverse scattering involving ordinary differential operators (34L25) Boundary eigenvalue problems for ordinary differential equations (34B09)

Related Items (3)

On simple and interlaced property of the zeros of two entire functions ⋮ Inverse transmission eigenvalue problem for fixed angular momentum ⋮ On a regularization approach to the inverse transmission eigenvalue problem

Cites Work

• On the uniqueness of a spherically symmetric speed of sound from transmission eigenvalues
• Inverse spectral problems for non-selfadjoint second-order differential operators with Dirichlet boundary conditions
• On inverse spectral problem for non-selfadjoint Sturm-Liouville operator on a finite interval
• Eine Umkehrung der Sturm-Liouvilleschen Eigenwertaufgabe. Bestimmung der Differentialgleichung durch die Eigenwerte
• Reconstruction of the wave speed from transmission eigenvalues for the spherically-symmetric variable-speed wave equation
• Spectral properties of the exterior transmission eigenvalue problem
• The uniqueness in the inverse problem for transmission eigenvalues for the spherically symmetric variable-speed wave equation
• On the determination of a differential equation from its spectral function
• On the use of transmission eigenvalues to estimate the index of refraction from far field data
• The reconstruction of Sturm-Liouville operators
• Reconstruction of a Spherically Symmetric Speed of Sound
• On an open question in the inverse transmission eigenvalue problem
• Transmission eigenvalues
• Complex eigenvalues and the inverse spectral problem for transmission eigenvalues
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