Asymptotic behavior of solutions for initial-boundary value problems for strongly damped nonlinear wave equations
type: Item
instance of: scholarly article
title: Asymptotic behavior of solutions for initial-boundary value problems for strongly damped nonlinear wave equations
zbMATH Open document ID: 1156.35332
author: Runzhang Xu
author: Yacheng Liu
published in: Nonlinear Analysis. Theory, Methods \& Applications. Series A: Theory and Methods
publication date: 2008-10-21T00:00:00Z
review text: The initial-boundary value problem to the equation \(u_{tt}-a\Delta u_{t}-\Delta u+f(u)=0,\) where \(t>0,x\in \Omega \subset \mathbb R^n (n\geq 4),a>0,\) is studied. Under some conditions on \(f\) and \(a\) the authors prove that a global strong solution to this problem decays exponentially as \(t\rightarrow \infty .\)
reviewed by: Marie Kopáčková
Mathematics Subject Classification ID: 35B40
Mathematics Subject Classification ID: 35L70
Mathematics Subject Classification ID: 35L20
zbMATH DE Number: 5354998
zbMATH Keywords: global strong solution
zbMATH Keywords: exponential decay
MaRDI profile type: Publication
full work available at URL: j.na.2007.08.027
OpenAlex ID: W2065757349
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DOI: 10.1016/J.NA.2007.08.027
description: scientific article; zbMATH DE number 5354998