An uniqueness result with some density theorems with interior transmission eigenvalues

DOI10.1080/00036811.2014.936403zbMath1317.35160OpenAlexW2127809625WikidataQ58255652 ScholiaQ58255652MaRDI QIDQ5264229

Lung-Hui Chen

Publication date: 24 July 2015

Published in: Applicable Analysis (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1080/00036811.2014.936403

zbMATH Keywords

indicator functioninterior transmission eigenvaluesCarlson's theoremWilder's theoremCartwright's theory

Mathematics Subject Classification ID

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

Related Items (8)

An inverse spectral analysis of transmission problem in thermo- and photo-acoustic tomography ⋮ A fixed energy fixed angle inverse scattering in interior transmission problem ⋮ A sub-density theorem of Sturm-Liouville eigenvalue problem with finitely many singularities ⋮ 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 certain translation invariant properties of interior transmission spectra and their Doppler's effect ⋮ On the eigenvalue asymptotics of Zonal Schrödinger operators in even metric and non-even metric

Cites Work

• The interior transmission problem
• Inverse spectral theory using nodal points as data - A uniqueness result
• On the uniqueness of a spherically symmetric speed of sound from transmission eigenvalues
• On the existence of transmission eigenvalues
• The interior transmission eigenvalue problem for absorbing media
• Complex transmission eigenvalues for spherically stratified media
• The uniqueness in the inverse problem for transmission eigenvalues for the spherically symmetric variable-speed wave equation
• THE INVERSE SCATTERING PROBLEM FOR TIME-HARMONIC ACOUSTIC WAVES IN AN INHOMOGENEOUS MEDIUM
• On the zeros of exponential sums and integrals
• The Interior Transmission Eigenvalue Problem

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