一类具非局部源抛物型方程解的爆破  

Uniform Blow-up Properties for a Parabolic System with Non-local Sources

作　　者：蒋良军[1] 

机构地区：[1]南京晓庄学院数学系,江苏南京210017

出　　处：《南京晓庄学院学报》2008年第6期1-3,10,共4页Journal of Nanjing Xiaozhuang University

基　　金：南京晓庄学院科研基金资助项目(2005NXY11)

摘　　要：考虑带齐次Dirichlet边界条件,具非局部源项的半线性抛物型方程正解的爆破性质,证明了该问题的解在有限时间内爆破,并建立解在区域内部一致爆破的模式.This paper deals with the blow-up properties of positive solutions to a semilinear parabolic equation with nonlocal sources,subject to null Dirichlet boundary conditions.The sufficient conditions are obtained on the blow-up in a finite time of solutions and then the uniform blow-up profiles in the interior are accordingly established.

关 键 词：抛物型方程 非局部源 一致爆破模式 

分 类 号：O175.26[理学—数学]