Blow-up of positive-initial-energy solutions of a nonlinear viscoelastic hyperbolic equation
نویسنده
چکیده
In this paper, we consider the nonlinear viscoelastic equation utt −Δu+ t ∫ 0 g(t − τ )Δu(τ) dτ + ut |ut |m−2 = u|u|p−2 with initial conditions and Dirichlet boundary conditions. For nonincreasing positive functions g and for p >m, we prove that there are solutions with positive initial energy that blow up in finite time. © 2005 Elsevier Inc. All rights reserved.
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تاریخ انتشار 2006