Blow-up of positive-initial-energy solutions of a nonlinear viscoelastic hyperbolic equation |
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| Authors: | Salim A. Messaoudi |
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| Affiliation: | Mathematical Sciences Department, KFUPM, Dhahran 31261, Saudi Arabia |
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| Abstract: | In this paper, we consider the nonlinear viscoelastic equation with initial conditions and Dirichlet boundary conditions. For nonincreasing positive functions g and for p>m, we prove that there are solutions with positive initial energy that blow up in finite time. |
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| Keywords: | Blow-up Finite time Hyperbolic Nonlinear damping Positive initial energy Viscoelastic |
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