郑州大学学报（理学版）2012，Vol.44Issue(1)：20-22,3.DOI:10.3969/j.issn/1671-6841.2012.01.005
一类高阶非线性发展方程解的爆破
Blow-up of the Solution for a Class of Nonlinear Evolution Equation of Higher Order
摘要
Abstract
The initial boundary value problem for a class of nonlinear hyperbolic equation of higher order was studied. The existence and uniqueness of the local generalized solution of the problem were proved by Galerkin method and the compactness argument. Moreover, the sufficient conditions of blow-up of the solution of the problem in finite time was given.关键词
高阶/非线性发展方程/初边值问题/局部解/解的爆破Key words
higher order/ nonlinear evolution equation/ initial boundary value problem/ local solution/ blow-up of the solution分类
数理科学引用本文复制引用
王艳萍..一类高阶非线性发展方程解的爆破[J].郑州大学学报（理学版）,2012,44(1):20-22,3.基金项目
国家自然科学基金资助项目,编号10671182 （）
河南省高等学校青年骨干教师基金资助项目. （）
