Article ID Journal Published Year Pages File Type
4620779 Journal of Mathematical Analysis and Applications 2008 8 Pages PDF
Abstract

In this paper we consider the nonlinear viscoelastic equationutt−Δu+∫0tg(t−τ)Δu(τ)dτ+ut=|u|p−1uin Ω×(0,∞), with initial conditions and Dirichlet boundary condition. Under some appropriate assumption on g, by introducing a potential well we establish the global existence result for the equation above. Furthermore, we investigate explicit exponential energy decay of the viscoelastic wave equation under the potential well.

Related Topics
Physical Sciences and Engineering Mathematics Analysis
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