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Global nonexistence of positive initial-energy solutions of a system of nonlinear viscoelastic wave equations with damping and source terms |
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| Authors: | Salim A Messaoudi |
| Institution: | a Mathematical Sciences Department, KFUPM, Dhahran 31261, Saudi Arabia b Laboratoire de Mathématiques, Université de Savoie, 73376 Le Bourget du Lac, France |
| Abstract: | This work is concerned with a system of viscoelastic wave equations with nonlinear damping and source terms acting in both equations. We prove a global nonexistence theorem for certain solutions with positive initial energy. |
| Keywords: | Blow up Global nonexistence Positive initial energy Viscoelastic wave equations |
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