Spectral analysis of the acoustic propagator in a multistratified domain
type: Item
instance of: scholarly article
title: Spectral analysis of the acoustic propagator in a multistratified domain
zbMATH Open document ID: 0911.35077
author: Mejdoub Benbernou
published in: Journal of Mathematical Analysis and Applications
publication date: 1998-11-03T00:00:00Z
review text: A selfadjoint operator \(H\) modeling the propagation of aoustic waves in a multistratified domain \(\Omega\) is considered. The operator \(H\) is of the form \(-\nabla c(x)\nabla\) \((c\) is the propagation velocity depending on the stratification of \(\Omega)\). This model with some perturbations in a more general situation is studied. The spectrum of \(H\) is calculated and the limiting absorption principle in an optimal scale of suitable Besov spaces is established by the conjugate operator method. A formula for the spectrum of \(H\) is obtained, and the accumulation of eigenvalues of \(H\) and the continuity of the spectrum are analyzed.
Mathematics Subject Classification ID: 35P05
Mathematics Subject Classification ID: 35J15
Mathematics Subject Classification ID: 47F05
zbMATH DE Number: 1218231
zbMATH Keywords: scale of Besov
zbMATH Keywords: limiting absorption principle
MaRDI profile type: Publication
full work available at URL: jmaa.1998.6032
OpenAlex ID: W2087225667
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DOI: 10.1006/JMAA.1998.6032
description: scientific article; zbMATH DE number 1218231