The Existence and Non-Existence of Global Solutions for a Nonlinear Wave Equation |
Received:November 03, 2006 Revised:January 19, 2007 |
Key Words:
nonlinear wave equation initial boundary value problem global solution blow-up of solution.
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Fund Project:the National Natural Science Foundation of China (No.10671182); the Excellent Youth Teachers Foundation of High College of Henan Province (No.2006110016). |
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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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