On the inverse spectral theory in a non-homogeneous interior transmission problem

DOI10.1080/17476933.2014.970541zbMath1323.35120OpenAlexW2009549377MaRDI QIDQ5256685

Lung-Hui Chen

Publication date: 19 June 2015

Published in: Complex Variables and Elliptic Equations (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1080/17476933.2014.970541

zbMATH Keywords

inverse problemvalue distribution theorycomplex analysisinterior transmission eigenvaluenon-self-adjoint eigenvalue problemCartwright's theory

Mathematics Subject Classification ID

Scattering theory for PDEs (35P25) Sturm-Liouville theory (34B24) Inverse problems for PDEs (35R30)

Related Items

Necessary and sufficient conditions for the density of transmission eigenvalues ⋮ 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 the inverse spectral stability for the transmission eigenvalue problem with finite data ⋮ 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

Cites Work

• On the use of \(T\)-coercivity to study the interior transmission eigenvalue problem
• On the determination of Dirichlet or transmission eigenvalues from far field data
• The interior transmission problem
• Inverse spectral theory for a singular Sturm-Liouville operator on \([0,1\)]
• Inverse spectral theory for some singular Sturm-Liouville problems
• On the uniqueness of a spherically symmetric speed of sound from transmission eigenvalues
• A Borg-Levinson theorem for Bessel operators
• On the existence of transmission eigenvalues
• The interior transmission problem and bounds on transmission eigenvalues
• The interior transmission eigenvalue problem for absorbing media
• Estimation of transmission eigenvalues and the index of refraction from Cauchy data
• The uniqueness in the inverse problem for transmission eigenvalues for the spherically symmetric variable-speed wave equation
• Transmission Eigenvalues for Elliptic Operators
• The Interior Transmission Problem and Inverse Scattering from Inhomogeneous Media
• THE INVERSE SCATTERING PROBLEM FOR TIME-HARMONIC ACOUSTIC WAVES IN A PENETRABLE MEDIUM
• THE INVERSE SCATTERING PROBLEM FOR TIME-HARMONIC ACOUSTIC WAVES IN AN INHOMOGENEOUS MEDIUM
• Inverse Sturm-Liouville problems with a singularity at zero
• On the zeros of exponential sums and integrals
• Far-Field Patterns for Acoustic Waves in an Inhomogeneous Medium
• The Interior Transmission Eigenvalue Problem
• Some properties of functions of exponential type
• Inverse acoustic and electromagnetic scattering theory

This page was built for publication: On the inverse spectral theory in a non-homogeneous interior transmission problem