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 |
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