Scattering theory for a stratified acoustic strip with short- or long-range perturbations.
type: Item
instance of: scholarly article
title: Scattering theory for a stratified acoustic strip with short- or long-range perturbations.
zbMATH Open document ID: 1165.35422
author: Viorel Iftimie
author: Elisabeth Croc
published in: Publications of the Research Institute for Mathematical Sciences, Kyoto University
publication date: 2002-08-08T00:00:00Z
review text: The authors deal with the acoustic propagator \(H=-\nabla\cdot\rho\nabla\) acting in \(L^2(\Omega)\) with \(\Omega= \Omega\times\mathbb R\), and \(\widetilde{\Omega}\) a bounded open set in \(\mathbb R^{n-1}\), \(n\geq 2\). Here \(\rho\in L^\infty(\Omega)\) and bounded below by \(c>0\). Under some additional assumptions on \(\rho\), they build free evolutions \(W_j(t)\), \(j=1,2\), such that the wave operators \(Q_j^\pm:= s-\lim_{t\to\pm\infty} e^{itH} W_j(t)\), \(j=1,2\), exist and are asymptotically complete.
Mathematics Subject Classification ID: 35P25
Mathematics Subject Classification ID: 35Q35
Mathematics Subject Classification ID: 47A40
Mathematics Subject Classification ID: 47F05
zbMATH DE Number: 1777449
zbMATH Keywords: acoustic propagator
zbMATH Keywords: asymptotic completeness
reviewed by: Messoud Efendiev
MaRDI profile type: Publication
full work available at URL: https://doi.org/10.2977/prims/1145476417
OpenAlex ID: W2027913402
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DOI: 10.2977/PRIMS/1145476417
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description: scientific article; zbMATH DE number 1777449