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