A uniqueness theorem on the eigenvalues of spherically symmetric interior transmission problem in absorbing medium

DOI10.1080/17476933.2014.900055zbMath1319.35138arXiv1204.5856OpenAlexW2004804628MaRDI QIDQ4983305

Lung-Hui Chen

Publication date: 25 March 2015

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

Full work available at URL: https://arxiv.org/abs/1204.5856

zbMATH Keywords

inverse problemalmost periodic functionspectral perturbationtransmission eigenvalueabsorbing mediaCartwright theory

Mathematics Subject Classification ID

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

Related Items (7)

The inverse discrete transmission eigenvalue problem for absorbing media ⋮ An inverse spectral analysis of transmission problem in thermo- and photo-acoustic tomography ⋮ A fixed energy fixed angle inverse scattering in interior transmission problem ⋮ 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
• 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
• The uniqueness in the inverse problem for transmission eigenvalues for the spherically symmetric variable-speed wave equation
• 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
• Wave scattering in one dimension with absorption
• 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

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