Asymptotic Behavior for a Viscoelastic Wave Equation with a Time-varying Delay Term
Year: 2016
Author: Shun Tang Wu
Journal of Partial Differential Equations, Vol. 29 (2016), Iss. 1 : pp. 22–35
Abstract
The following viscoelastic wave equation with a time-varying delay term in internal feedback |ut|ρutt−Δu−Δutt+∫t0g(t−s)Δu(s)ds+μ1ut(x,t)+μ2ut(x,t−τ(t))=0, is considered in a bounded domain. Under appropriate conditions on μ_1, μ_2 and on the kernel g, we establish the general decay result for the energy by suitable Lyapunov functionals.
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Journal Article Details
Publisher Name: Global Science Press
Language: English
DOI: https://doi.org/10.4208/jpde.v29.n1.3
Journal of Partial Differential Equations, Vol. 29 (2016), Iss. 1 : pp. 22–35
Published online: 2016-01
AMS Subject Headings:
Copyright: COPYRIGHT: © Global Science Press
Pages: 14
Keywords: Global existence
Author Details
Shun Tang Wu Email
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