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

dc.contributor.author	Said-Houari, Belkacem
dc.date.accessioned	2015-08-03T09:44:50Z
dc.date.available	2015-08-03T09:44:50Z
dc.date.issued	2012-03
dc.identifier.citation	Said-Houari, B. (2012). Asymptotic behaviors of solutions for viscoelastic wave equation with space–time dependent damping term. Journal of Mathematical Analysis and Applications, 387(2), 1088–1105. doi:10.1016/j.jmaa.2011.10.017
dc.identifier.issn	0022247X
dc.identifier.doi	10.1016/j.jmaa.2011.10.017
dc.identifier.uri	http://hdl.handle.net/10754/562102
dc.description.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.
dc.publisher	Elsevier BV
dc.subject	Absorption term
dc.subject	Asymptotic behavior
dc.subject	Space-time dependent damping
dc.subject	Viscoelastic
dc.subject	Weighted energy method
dc.title	Asymptotic behaviors of solutions for viscoelastic wave equation with space-time dependent damping term
dc.type	Article
dc.contributor.department	Computer, Electrical and Mathematical Sciences and Engineering (CEMSE) Division
dc.identifier.journal	Journal of Mathematical Analysis and Applications
kaust.person	Said-Houari, Belkacem