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October  2005, 12(5): 949-958. doi: 10.3934/dcds.2005.12.949

Non-existence of global solutions for nonlinear strongly damped hyperbolic systems

Fuqin Sun 1, and  Mingxin Wang 2,

1. 

Department of Mathematics, Southeast University, Nanjing 210018, China
2. 

Department of Mathematics, Xuzhou Normal University, Xuzhou 221116, China

Received  January 2004 Revised  October 2004 Published  February 2005

In this paper, we focus on the Cauchy problems of nonlinear strongly damped hyperbolic equations and systems. We give some conditions on the non-existence of global solutions.
Keywords: strongly damped, global solutions, non-existence., Hyperbolic systems.
Mathematics Subject Classification: Primary 35L15, 35L70, 35L1.
Citation: Fuqin Sun, Mingxin Wang. Non-existence of global solutions for nonlinear strongly damped hyperbolic systems. Discrete & Continuous Dynamical Systems - A, 2005, 12 (5) : 949-958. doi: 10.3934/dcds.2005.12.949
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