Local energy decay for linear wave equations with variable coefficients
type: Item
instance of: scholarly article
title: Local energy decay for linear wave equations with variable coefficients
zbMATH Open document ID: 1072.35112
author: Ryo Ikehata
published in: Journal of Mathematical Analysis and Applications
publication date: 2005-06-01T00:00:00Z
review text: For the linear wave equation with variable coefficients depending on a given differentiable function \(K(x)\) which has to satisfy some additional conditions, one considers the initial-boundary value problem with Dirichlet homogeneous data on an exterior domain with compact smooth boundary. The purpose of the paper is to derive a uniform local energy decay estimate without assuming the compactness of the support on the initial data. However the conditions imposed on \(K(x)\) are quite restrictive.
reviewed by: Claudia Simionescu-Badea
Mathematics Subject Classification ID: 35L20
Mathematics Subject Classification ID: 35B45
Mathematics Subject Classification ID: 35B40
zbMATH DE Number: 2173101
zbMATH Keywords: noncompactly supported initial data
zbMATH Keywords: exterior domain
MaRDI profile type: Publication
full work available at URL: j.jmaa.2004.12.056
OpenAlex ID: W2003998783
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DOI: 10.1016/J.JMAA.2004.12.056
description: scientific article; zbMATH DE number 2173101