Chinese Quarterly Journal of Mathematics ›› 2010, Vol. 25 ›› Issue (4): 578-581.

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Blow-up of Solution for a Nonlinear Hyperbolic Equation 

  

  1. Department of Mathematics and Physics, Zhengzhou Institute of Aeronautical Industry Management
  • Received:2007-03-27 Online:2010-12-30 Published:2023-05-19
  • About author:WANG Yan-ping(1968-), female, native of Zhoukou, Henan, an associate professor of Zhengzhou Inistitue of Aeronautical Industry Management, Ph.D., engages in PDE.
  • Supported by:
    Supported by the National Natural Science Foundation of China(10671182)； Supported by the Excellent Youth Teachers Foundation of High College of Henan Province(2006110016)；

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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 value
problem

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