一类具非局部源抛物型方程组解的一致爆破性质  

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

作　　者：蒋良军[1] 李慧玲[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：《四川师范大学学报（自然科学版）》2008年第6期698-703,共6页Journal of Sichuan Normal University（Natural Science）

基　　金：国家自然科学基金(107010024)资助项目;南京晓庄学院科研基金的资助

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组正解的爆破性质,给出了该问题的解在有限时间内爆破的一个充分条件,以及解的两个分量同时爆破的必要条件,并建立了解在区域内部一致爆破的模式.In this paper, the blow-up properties of positive solutions to semilinear parabolic systems with nonlocal sources, satisfying homogeneous Dirichlet boundary conditions are investigated. The sufficient conditions on the blow-up in a finite time of solutions and a necessary, condition for the two components of the solution to blow-up simuhaneously are firstly obtained, and then the uniform blow-up profile in the interior is established.

关 键 词：抛物型方程组 非局部源 一致爆破模式 同时爆破 

分 类 号：O175.24[理学—数学]