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

Fuqin Sun; Mingxin Wang

doi:10.3934/dcds.2005.12.949

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2005, Volume 12, Issue 5: 949-958. Doi: 10.3934/dcds.2005.12.949

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

Fuqin Sun¹ and
Mingxin Wang^2,

1.
Department of Mathematics, Southeast University, Nanjing 210018
2.
Department of Mathematics, Xuzhou Normal University, Xuzhou 221116

Received: December 31, 2003

Revised: September 30, 2004

Published: September 2005

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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.

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Mathematics Subject Classification: Primary 35L15, 35L70, 35L15.

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