| Nonexistence of the Solution for a Class of Nonlinear Hyperbolic Equation |
| Received:February 19, 2009 Revised:July 03, 2009 |
| Key Words:
nonlinear hyperbolic equation Cauchy problem local solution nonexistence of solution.
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| Fund Project:Supported by the National Natural Science Foundation of China (Grant No.10671182) and the Excellent Youth Teachers Foundation of High College of Henan Province (Grant No.2006110016). |
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| Abstract: |
| In this paper, we prove the existence and uniqueness of the local generalized solution of the Cauchy problem for a class of nonlinear hyperbolic equation of higher order are proved. Moreover, we give the sufficient conditions for blow-up of the solution of the problem in finite time will be given. |
| Citation: |
| DOI:10.3770/j.issn:1000-341X.2011.02.024 |
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