Global existence and blow-up of solutions for some hyperbolic systems with damping and source terms |
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| Authors: | L. Liu M. Wang |
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| Affiliation: | 1. Department of Mathematics, Southeast University, Nanjing 210018, PR China;2. Department of Mathematics, Xuzhou Normal University, Xuzhou 221116, PR China |
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| Abstract: | This paper deals with the global existence and blow-up of solutions to some nonlinear hyperbolic systems with damping and source terms in a bounded domain. By using the potential well method, we obtain the global existence. Moreover, for the problem with linear damping terms, blow-up of solutions is considered and some estimates for the lifespan of solutions are given. |
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| Keywords: | 35L15 35L70 |
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