On certain translation invariant properties of interior transmission spectra and their Doppler's effect

DOI10.1155/2017/3838507zbMath1453.35080OpenAlexW2615890561WikidataQ59142434 ScholiaQ59142434MaRDI QIDQ1798399

Publication date: 23 October 2018

Published in: Advances in Mathematical Physics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1155/2017/3838507

Mathematics Subject Classification ID

Scattering theory for PDEs (35P25) Laplace operator, Helmholtz equation (reduced wave equation), Poisson equation (35J05) Boundary value problems for second-order elliptic systems (35J57)

Cites Work

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The interior transmission problem
Sturm-Liouville operators and applications. Transl. from the Russian by A. Iacob
Inverse spectral theory for some singular Sturm-Liouville problems
On the uniqueness of a spherically symmetric speed of sound from transmission eigenvalues
A fixed energy fixed angle inverse scattering in interior transmission problem
Inverse uniqueness in interior transmission problem and its eigenvalue tunneling in simple domain
A Borg-Levinson theorem for Bessel operators
On the existence of transmission eigenvalues
Reconstruction of the wave speed from transmission eigenvalues for the spherically-symmetric variable-speed wave equation
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
Bounds on positive interior transmission eigenvalues
Expansions in series of solutions of linear difference-differential and infinite order differential equations with constant coefficients
The Interior Transmission Problem and Inverse Scattering from Inhomogeneous Media
THE INVERSE SCATTERING PROBLEM FOR TIME-HARMONIC ACOUSTIC WAVES IN AN INHOMOGENEOUS MEDIUM
The Denseness of the Far Field Patterns for the Transmission Problem
Far-Field Patterns for Acoustic Waves in an Inhomogeneous Medium
A uniqueness theorem on the eigenvalues of spherically symmetric interior transmission problem in absorbing medium
The Interior Transmission Eigenvalue Problem
On the inverse spectral theory in a non-homogeneous interior transmission problem
Some results on electromagnetic transmission eigenvalues
An uniqueness result with some density theorems with interior transmission eigenvalues
Zeros of Exponential Sums
Inverse acoustic and electromagnetic scattering theory

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