Blow up of solutions for viscoelastic wave equations of Kirchhoff type with arbitrary positive initial energy
In this article we consider the nonlinear Viscoelastic wave equations of Kirchhoff type $$\displaylines{ u_{tt}-M( \| \nabla u\| ^2) \Delta u+\int_0^{t}g_1( t-\tau )\Delta u( \tau ) d\tau +u_t =( p+1)| v| ^{q+1}| u| ^{p-1}u, \cr v_{tt}-M( \| \nabla v\| ^2) \Delta v+\int_0^{t}g_2( t-\tau ) \De...
| Main Authors: | , |
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| Format: | Article |
| Language: | English |
| Published: |
Texas State University
2017-10-01
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| Series: | Electronic Journal of Differential Equations |
| Subjects: | |
| Online Access: | http://ejde.math.txstate.edu/Volumes/2017/242/abstr.html |