一类具非局部源抛物型方程组解的一致爆破性质(英文)  

Uniform Blow-up Properties for a Parabolic System with Nonlocal Sources

作　　者：蒋良军[1] 李慧玲[2] 胡俊[2] 

机构地区：[1]南京晓庄学院数学系,江苏南京210017 [2]东南大学数学系,江苏南京210018

出　　处：《应用数学》2009年第2期317-325,共9页Mathematica Applicata

基　　金：Supported by the National Natural Science Foundation of China(107010024)

摘　　要：考虑带有齐次Dirichlet边界条件,具非局部源项的半线性抛物型方程组正解的爆破性质,首先给出了该问题的解在有限时刻爆破的充分条件,以及解的两个分量同时爆破的必要条件,并建立了解的一致爆破模式.This paper deals with the blow-up properties of positive solutions to a semilinear, para- bolic system with nonlocal sources, subjected to null Dirichlet boundary conditions. We first obtain some sufficient conditions on the blow-up in a finite time of solutions and a ~ecessary condition for which the two components of the solution blow-up simultaneously, and＇then establish uniform, blow- up profiles in the interior.

关 键 词：抛物型方程组 非局部源 一致爆破模式 

分 类 号：O175.26[理学—数学]