A wave equation associated with mixed nonhomogeneous conditions: global existence and asymptotic expansion of solutions
type: Item
instance of: scholarly article
title: A wave equation associated with mixed nonhomogeneous conditions: global existence and asymptotic expansion of solutions
zbMATH Open document ID: 1114.35117
author: Nguyen Thanh Long
author: Vo Giang Giai
published in: Nonlinear Analysis. Theory, Methods \& Applications. Series A: Theory and Methods
publication date: 2007-04-13T00:00:00Z
review text: An initial boundary value problem for the linear wave equation is considered. The unknown function \(u(x , t)\) and the unknown BV function \(P(t)\) are asked to satisfy a nonlinear integral equation. Under certain regularity conditions one proves the global existence and uniqueness of a weak solution \(( u, P)\). For some special values of parameters which simplify consistently the integral condition transforming it into a linear one, a study of the asymptotic behaviour of the solution \((u, P)\) is done.
reviewed by: Claudia Simionescu-Badea
Mathematics Subject Classification ID: 35L20
Mathematics Subject Classification ID: 35L70
zbMATH DE Number: 5142211
zbMATH Keywords: weak solution
zbMATH Keywords: Galerkin method
MaRDI profile type: Publication
full work available at URL: j.na.2006.02.007
OpenAlex ID: W2062967686
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DOI: 10.1016/J.NA.2006.02.007
description: scientific article; zbMATH DE number 5142211