Acta mathematica scientia,Series A

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Blow-up of Solution for an Initial Boundary Value Problem for a Nonlinear Hyperbolic Equation

Wang Yanping; Guo Boling   

  1. (1. Department of Mathematics and Physics,Zhengzhou Institute of Aeronautical Industry Management, Zhengzhou 450015; 2. Institute of Applied Physics and Computational Mathematics, P. O. Box 8009, Beijing 100088)
  • Received:2006-05-08 Revised:2008-03-15 Online:2008-08-25 Published:2008-08-25
  • Contact: Wang Yanping

Abstract: This paper gives the sufficient conditions of blow-up of the solution of a nonlinear hyperbolic equation with the initial boundary value conditions in finite time and proves the existence and uniqueness of the local solution of the problem.

Key words: Nonlinear hyperbolic equation, Blow-up of solution, Initial boundary problem, Local solution

CLC Number: 

  • 35L35
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