Title of article
Blow-up of positive-initial-energy solutions of a nonlinear viscoelastic hyperbolic equation
Author/Authors
Salim A. Messaoudi، نويسنده ,
Issue Information
دوهفته نامه با شماره پیاپی سال 2006
Pages
14
From page
902
To page
915
Abstract
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
Keywords
viscoelastic , Blow-up , hyperbolic , Finite time , Nonlinear damping , Positive initial energy
Journal title
Journal of Mathematical Analysis and Applications
Serial Year
2006
Journal title
Journal of Mathematical Analysis and Applications
Record number
934684
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