Local existence and global nonexistence theorems for a damped nonlinear hyperbolic equation
type: Item
instance of: scholarly article
title: Local existence and global nonexistence theorems for a damped nonlinear hyperbolic equation
zbMATH Open document ID: 1194.35273
author: Guowang Chen
author: Ruili Song
author: Shubin Wang
published in: Journal of Mathematical Analysis and Applications
publication date: 2010-05-19T00:00:00Z
review text: The initial boundary value problem for a nonlinear damped hyperbolic equation in three dimensions, with simply supported boundary is considered. Under some special conditions on the initial data and the nonlinearity function the existence of a unique local generalized solution is proved. The contraction mapping principle is used. Two results of global nonexistence of solution are shown, the one being based on the concavity method.
reviewed by: Claudia Simionescu-Badea
Mathematics Subject Classification ID: 35L75
Mathematics Subject Classification ID: 35L35
Mathematics Subject Classification ID: 35B44
zbMATH DE Number: 5710065
zbMATH Keywords: Damped nonlinear hyperbolic equation
zbMATH Keywords: initial boundary value problem
zbMATH Keywords: local solution
zbMATH Keywords: blow up of solutions
zbMATH Keywords: three dimensions
zbMATH Keywords: simply supported boundary
zbMATH Keywords: contraction mapping principle
zbMATH Keywords: concavity method
MaRDI profile type: Publication
full work available at URL: j.jmaa.2010.02.054
OpenAlex ID: W2064828109
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DOI: 10.1016/J.JMAA.2010.02.054
description: scientific article; zbMATH DE number 5710065