Inverse scattering theory for wave equations in stratified media

DOI10.1006/jdeq.1997.3271zbMath0878.35084OpenAlexW2012965582MaRDI QIDQ1365214

Hiroshi Isozaki

Publication date: 3 December 1997

Published in: Journal of Differential Equations (Search for Journal in Brave)

Full work available at URL: https://semanticscholar.org/paper/b0111bc5f79b7f3b9b5473b7c2260ed379a667ae

zbMATH Keywords

scattering matrixwave velocity

Mathematics Subject Classification ID

Scattering theory for PDEs (35P25) Inverse problems for PDEs (35R30) Wave equation (35L05)

Related Items (5)

Completeness of Averaged Scattering Solutions and Inverse Scattering at a Fixed Energy ⋮ Scattering on stratified media: the microlocal properties of the scattering matrix and recovering asymptotics of perturbations. ⋮ Inverse scattering at fixed energy for layered media ⋮ Scattering theory for perturbed stratified media ⋮ Multidimensional inverse problems in perturbed stratified media

Cites Work

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• Sound propagation in stratified fluids
• Limiting amplitude principle for acoustic propagators in perturbed stratified fluids
• Théorie spectrale de la progagation des ondes acoustiques dans un milieu stratifié perturbé. (Spectral analysis of the propagation of acoustic waves in a perturbed stratified medium)
• Spectral analysis of N-body Schrödinger operators
• Absence of singular continuous spectrum for certain self-adjoint operators
• Structures of S-matrices for three body Schrödinger operators
• Inverse problem of quantum scattering theory. II
• A generalization of the radiation condition of Sommerfeld for \(N\)-body Schrödinger operators
• Eigenfunction expansions for elastic wave propagation problems in stratified media \(R^ 3\)
• On \(N\)-body Schrödinger operators
• Inverse scattering problem for the Schrödinger equation with magnetic potential at a fixed energy
• \(N\)-body resolvent estimates
• High energy resolvent estimates for generalized many-body Schrödinger operators
• Uniqueness and stability in multi-dimensional inverse problems
• Inverse problems for a perturbed dissipative half-space
• MULTI-DIMENSIONAL INVERSE SCATTERING THEORY FOR SCHRÖDINGER OPERATORS
• Spectral and scattering theory for wave propagation in perturbed stratified media

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