Asymptotic behaviors of solutions for viscoelastic wave equation with space-time dependent damping term

Handle URI:
http://hdl.handle.net/10754/562102
Title:
Asymptotic behaviors of solutions for viscoelastic wave equation with space-time dependent damping term
Authors:
Said-Houari, Belkacem
Abstract:
In this paper, we consider a viscoelastic wave equation with an absorbing term and space-time dependent damping term. Based on the weighted energy method, and by assuming that the kernel decaying exponentially, we obtain the L2 decay rates of the solutions. More precisely, we show that the decay rates are the same as those obtained in Lin et al. (2010) [15] for the semilinear wave equation with absorption term. © 2011 Elsevier Inc.
KAUST Department:
Computer, Electrical and Mathematical Sciences and Engineering (CEMSE) Division
Publisher:
Elsevier BV
Journal:
Journal of Mathematical Analysis and Applications
Issue Date:
Mar-2012
DOI:
10.1016/j.jmaa.2011.10.017
Type:
Article
ISSN:
0022247X
Appears in Collections:
Articles; Computer, Electrical and Mathematical Sciences and Engineering (CEMSE) Division

Full metadata record

DC FieldValue Language
dc.contributor.authorSaid-Houari, Belkacemen
dc.date.accessioned2015-08-03T09:44:50Zen
dc.date.available2015-08-03T09:44:50Zen
dc.date.issued2012-03en
dc.identifier.issn0022247Xen
dc.identifier.doi10.1016/j.jmaa.2011.10.017en
dc.identifier.urihttp://hdl.handle.net/10754/562102en
dc.description.abstractIn this paper, we consider a viscoelastic wave equation with an absorbing term and space-time dependent damping term. Based on the weighted energy method, and by assuming that the kernel decaying exponentially, we obtain the L2 decay rates of the solutions. More precisely, we show that the decay rates are the same as those obtained in Lin et al. (2010) [15] for the semilinear wave equation with absorption term. © 2011 Elsevier Inc.en
dc.publisherElsevier BVen
dc.subjectAbsorption termen
dc.subjectAsymptotic behavioren
dc.subjectSpace-time dependent dampingen
dc.subjectViscoelasticen
dc.subjectWeighted energy methoden
dc.titleAsymptotic behaviors of solutions for viscoelastic wave equation with space-time dependent damping termen
dc.typeArticleen
dc.contributor.departmentComputer, Electrical and Mathematical Sciences and Engineering (CEMSE) Divisionen
dc.identifier.journalJournal of Mathematical Analysis and Applicationsen
kaust.authorSaid-Houari, Belkacemen
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