Energy decay rate of wave equations with indefinite damping
type: Item
instance of: scholarly article
title: Energy decay rate of wave equations with indefinite damping
zbMATH Open document ID: 0960.35058
author: Ahmed Benaddi
author: Bopeng Rao
published in: Journal of Differential Equations
publication date: 2000-08-28T00:00:00Z
full work available at URL: http://cds.cern.ch/record/462502
review text: The authors consider the one-dimensional wave equation with an indefinite sign viscous damping and a zero order potential term. The main result of the paper asserts that if the damping coefficient is ``more positive than negative'', the energy of the solution of the considered equation satisfying a Dirichlet boundary condition decays uniformly exponentially to zero. This generalizes a previous result of Freitas and Zuazua. The proof is based on an asymptotic expansion of eigenvalues and eigenfunctions of the damped wave equation (established by using a shooting method).
Mathematics Subject Classification ID: 35L20
Mathematics Subject Classification ID: 35B40
zbMATH DE Number: 1437331
zbMATH Keywords: Dirichlet boundary condition
zbMATH Keywords: asymptotic expansion of eigenvalues and eigenfunctions
zbMATH Keywords: shooting method
MaRDI profile type: Publication
OpenAlex ID: W1999444653
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DOI: 10.1006/JDEQ.2000.3714
description: scientific article; zbMATH DE number 1437331