Article ID Journal Published Year Pages File Type
838136 Nonlinear Analysis: Real World Applications 2010 7 Pages PDF
Abstract

In this paper, we consider the nonlinear viscoelastic equation utt−Δu+∫0tg(t−τ)Δu(τ)dτ−△ut=∣u∣p−2u,in Ω×[0,T], with initial conditions and Dirichlet boundary conditions. For nonincreasing positive functions gg, we prove that there are solutions with positive initial energy that blow up in finite time.

Related Topics
Physical Sciences and Engineering Engineering Engineering (General)
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