Blow-up of solutions for viscoelastic equations of Kirchhoff type with arbitrary positive initial energy
We consider the viscoelastic equation $$ u_{tt}(x,t)-M(\|\nabla u\|_2^2) \Delta u(x,t)+\int_0^t g(t-s)\Delta u(x,s)ds+u_t =|u|^{p-1}u $$ with suitable initial data and boundary conditions. Under certain assumptions on the kernel $g$ and the initial data, we establish a new blow-up result for...
Main Authors: | Zhifeng Yang, Zhaogang Gong |
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Format: | Article |
Language: | English |
Published: |
Texas State University
2016-12-01
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Series: | Electronic Journal of Differential Equations |
Subjects: | |
Online Access: | http://ejde.math.txstate.edu/Volumes/2016/332/abstr.html |
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