摘要
研究了一类具阻尼非线性双曲型方程的三维初边值问题,利用凸性方法给出了该问题的解在有限时刻爆破的充分条件,并给出了一个例子.
The sufficient conditions of blue-up of the solution for the initial boundary value problem for damped nonlinear hyperbol- ic equations are studied in the f rational order. Sobolev space by the concavity method is studied and an example is given.
出处
《河南工程学院学报（自然科学版）》
2012年第2期75-80,共6页
Journal of Henan University of Engineering：Natural Science Edition
基金
河南省基础与前沿技术研究项目(102300410214
112300410193)
关键词
非线性双曲型方程
初边值问题
解的爆破
a damped nonlinear hyperbolic equations
initial boundary value problem
blow-up of solutions
