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 condi...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.展开更多
基金Supported by the National Natural Science Foundation of China (Grant No. 10671182)the Excellent Youth Teachers Foundation of High College of Henan Province (Grant No. 2006110016)
文摘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.
