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.
Original language | English (US) |
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Pages (from-to) | 1088-1105 |
Number of pages | 18 |
Journal | Journal of Mathematical Analysis and Applications |
Volume | 387 |
Issue number | 2 |
DOIs | |
State | Published - Mar 2012 |
Bibliographical note
KAUST Repository Item: Exported on 2020-10-01ASJC Scopus subject areas
- Analysis
- Applied Mathematics