应用数学2009,Vol.22Issue(2):317-325,9.
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
摘要
Abstract
This paper deals with the blow-up properties of positive solutions to a semilinear parabolic 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 necessary 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Key words
Parabolic systems/Nonlocal sources/Uniform blow-up profiles分类
数理科学引用本文复制引用
蒋良军,李慧玲,胡俊..一类具非局部源抛物型方程组解的一致爆破性质[J].应用数学,2009,22(2):317-325,9.基金项目
Supported by the National Natural Science Foundation of China(107010024) (107010024)