The Existence and Non-Existence of Global Solutions for a Nonlinear Wave Equation
Received:November 03, 2006  Revised:January 19, 2007
Key Word: nonlinear wave equation   initial boundary value problem   global solution   blow-up of solution.  
Fund ProjectL:the National Natural Science Foundation of China (No.10671182); the Excellent Youth Teachers Foundation of High College of Henan Province (No.2006110016).
Author NameAffiliation
WANG Yan Ping Department of Mathematics and Physics, Zhengzhou Institute of Aeronautical Industry Management, Henan 450015, China 
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Abstract:
      This paper deals with the existence and uniqueness of the global solution of the initial boundary value problem of a class of wave equation. In the meantime, it gives the sufficient conditions of blow-up of the solution for the problem in finite time.
Citation:
DOI:10.3770/j.issn:1000-341X.2009.01.021
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