Existence and asymptotic behaviour of solutions to weakly damped wave equations of Kirchhoff type with nonlinear damping and source terms
type: Item
instance of: scholarly article
title: Existence and asymptotic behaviour of solutions to weakly damped wave equations of Kirchhoff type with nonlinear damping and source terms
zbMATH Open document ID: 1183.35044
author: Takeshi Taniguchi
published in: Journal of Mathematical Analysis and Applications
publication date: 2009-11-10T00:00:00Z
review text: An initial boundary value problem for the weakly damped wave equation of Kirchhoff type with nonlinear damping and source terms is considered. Under special assumptions the existence and uniqueness of a local weak solution as well as a result regarding the asymptotic behavior of solutions are proved. Necessary conditions for the existence of a global solution are shown.
reviewed by: Claudia Simionescu-Badea
Mathematics Subject Classification ID: 35B40
Mathematics Subject Classification ID: 35L35
Mathematics Subject Classification ID: 35R09
Mathematics Subject Classification ID: 35L76
zbMATH DE Number: 5629210
zbMATH Keywords: weakly damped wave equation
zbMATH Keywords: weak solutions
zbMATH Keywords: asymptotic behaviour of solutions
zbMATH Keywords: local weak solution
zbMATH Keywords: global solution
MaRDI profile type: Publication
full work available at URL: j.jmaa.2009.07.010
OpenAlex ID: W2043814793
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DOI: 10.1016/J.JMAA.2009.07.010
description: scientific article; zbMATH DE number 5629210