摘要
讨论了具有非局部反应项的退化抛物方程xαut-uxx=λeβu(x,t)0,(x,t)∈Ω×(0,T)的初边值问题解的爆破性.通过引入特征函数,通过特征值问题的性质构造出爆破因子,并利用比较原理,得出了解在有限时刻爆破.
This paper investigates the blow-up for a Dirichlet problem of a class of degenerate parabolic equation with a non-local source.xαut-uxx=λeβu(x,t)0,(x,t)∈Ω×(0,T),By introducing the eigen-function,and through the property of eigen-value problem,the blowing-up factor is constructed,and using the comparative principle,the solution blow-up in finite time is obtained.
出处
《河南工程学院学报(自然科学版)》
2011年第2期71-72,共2页
Journal of Henan University of Engineering:Natural Science Edition
关键词
退化的抛物方程
非局部源
特征函数
解的爆破
degenerate parabolic equations
non-local source
eigen-function
blow-up