Scattering theory for perturbed stratified media

DOI10.1007/BF02786928zbMath0926.35106OpenAlexW2032043817MaRDI QIDQ1283050

K. Appert

Publication date: 29 November 1999

Published in: Journal d'Analyse Mathématique (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/bf02786928

zbMATH Keywords

scattering matrixtrace formulaasymptotic of generalized eigenfunctions

Mathematics Subject Classification ID

Scattering theory for PDEs (35P25) Wave equation (35L05) Asymptotic expansions of solutions to PDEs (35C20)

Related Items

Scattering on stratified media: the microlocal properties of the scattering matrix and recovering asymptotics of perturbations. ⋮ Inverse scattering at fixed energy for layered media ⋮ A Radiation Condition for the 2-D Helmholtz Equation in Stratified Media

Cites Work

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• The limiting absorption and amplitude principles for the diffraction problem with two unbounded media
• The spectrum of positive elliptic operators and periodic bicharacteristics
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• Structure of the resolvent for three-body potentials
• Spectral geometry and scattering theory for certain complete surfaces of finite volume
• Asymptotic properties of generalized eigenfunctions for three body Schrödinger operators
• Scattering theory for manifolds with asymptotically cylindrical ends
• Partial differential equations. 2: Qualitative studies of linear equations
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• Spectral theory of schrödinger operators on euclidean and on non-euclidean spaces
• La relation de possion pour l'equation des ondes dans un ouvert non borne application a la theorie de la diffusion
• Spectral analysis for optical fibres and stratifled fluids II: Absence of Eigenvalues
• On Sommerfeld radiation conditions for the diffraction problem with two unbounded media
• Asymptotique de la phase de diffusion à haute énergie pour des perturbations du second ordre du laplacien
• Scattering Theory for Automorphic Functions. (AM-87)
• Inverse scattering on the line
• Weyl asymptotics for the phase in obstacle scattering
• Reciprocity relations and completeness of far‐field pattern vectors for obstacle scattering of acoustic wave in a stratified medium
• Radiation condition and scattering problem for time-harmonic acoustic waves in a stratified medium with a nonstratified inhomogeneity
• Spectral and scattering theory for wave propagation in perturbed stratified media
• Spectral and scattering theory for wave propagation in perturbed stratified media
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