Article ID | Journal | Published Year | Pages | File Type |
---|---|---|---|---|
4623567 | Journal of Mathematical Analysis and Applications | 2006 | 14 Pages |
Abstract
In this paper, we consider the nonlinear viscoelastic equationutt−Δu+∫0tg(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>mp>m, we prove that there are solutions with positive initial energy that blow up in finite time.
Related Topics
Physical Sciences and Engineering
Mathematics
Analysis
Authors
Salim A. Messaoudi,