Article ID Journal Published Year Pages File Type
837114 Nonlinear Analysis: Real World Applications 2015 9 Pages PDF
Abstract

In this paper, we consider the nonlinear viscoelastic equation: utt−△u+∫0tg(t−τ)△u(τ)dτ+|ut|m−2ut=|u|p−2u,inΩ×[0,T], with initial conditions and Dirichlet boundary conditions. For nonincreasing positive functions g, we show the finite time blow up of some solutions whose initial data have arbitrarily high initial energy.

Related Topics
Physical Sciences and Engineering Engineering Engineering (General)
Authors
,