Article ID Journal Published Year Pages File Type
837871 Nonlinear Analysis: Real World Applications 2011 15 Pages PDF
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.

Related Topics
Physical Sciences and Engineering Engineering Engineering (General)
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