Article ID | Journal | Published Year | Pages | File Type |
---|---|---|---|---|
837871 | Nonlinear Analysis: Real World Applications | 2011 | 15 Pages |
Abstract
In this paper, we consider the nonlinear viscoelastic wave equation utt−Δu+∫0th(t−τ)div[a(x)∇u(τ)]dτ+|u|γu=0 with boundary dissipation. Under suitable conditions on the initial data and the relaxation function, we prove the existence and uniqueness of its global solution by means of the Galerkin method and show the uniform decay rate of the energy.
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Authors
Fushan Li, Zengqin Zhao, Yanfu Chen,