Asymptotic behaviors of solutions for viscoelastic wave equation with space-time dependent damping term
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ArticleAuthors
Said-Houari, BelkacemDate
2012-03Permanent link to this record
http://hdl.handle.net/10754/562102
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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.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.2011.10.017Publisher
Elsevier BVae974a485f413a2113503eed53cd6c53
10.1016/j.jmaa.2011.10.017