摘要
研究了一类带有齐次Dirichlet边界条件,反应项为非局部源项的半线性抛物方程组解的性质.运用比较定理和构造上、下解方法,给出该问题解的整体存在和在有限时刻爆破的充分条件.由此得到,当反应项的指数满足不同条件时,方程组的解具有不同的性质.
The properties of solutions to semilinear parabolic system with nonlocal source were considered, subject to null Dirichlet boundary conditions. Using the upper-lower solution method, the conditions for the global existence and the finite blow-up of solution to the system are established. The solution of system has different properties when the exponential satisfied different conditions.
出处
《纺织高校基础科学学报》
CAS
2008年第3期306-309,共4页
Basic Sciences Journal of Textile Universities
关键词
抛物方程组
非局部源项
整体存在
爆破
parabolic system
nonlocal source
global existence
blow-up
