Blow-up for the Euler-Bernoulli viscoelastic equation with a nonlinear source

In this article, we consider the Euler-Bernoulli viscoelastic equation $$ u_{tt}(x,t)+ \Delta^2 u(x,t)-\int_0^t g(t-s)\Delta^2 u(x,s)ds=|u|^{p-1}u $$ together with some suitable initial data and boundary conditions in $\Omega\times (0,+\infty)$. Some sufficient conditions on blow-up of solutio...

Full description

Bibliographic Details
Main Authors: Zhifeng Yang, Guobing Fan
Format: Article
Language:English
Published: Texas State University 2015-12-01
Series:Electronic Journal of Differential Equations
Subjects:
Online Access:http://ejde.math.txstate.edu/Volumes/2015/306/abstr.html