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.
|
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). |
|
Hits: 2507 |
Download times: 1798 |
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 |
View Full Text View/Add Comment |