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

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    Type
    Article
    Authors
    Said-Houari, Belkacem
    KAUST Department
    Computer, Electrical and Mathematical Sciences and Engineering (CEMSE) Division
    Date
    2012-03
    Permanent link to this record
    http://hdl.handle.net/10754/562102
    
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    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.
    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
    Publisher
    Elsevier BV
    Journal
    Journal of Mathematical Analysis and Applications
    DOI
    10.1016/j.jmaa.2011.10.017
    ae974a485f413a2113503eed53cd6c53
    10.1016/j.jmaa.2011.10.017
    Scopus Count
    Collections
    Articles; Computer, Electrical and Mathematical Science and Engineering (CEMSE) Division

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