摘要
讨论一类具Dirichlet边值的反应扩散系统,借助Laplace算子的特征值和特征函数,在一定的条件下,得到了系统解的一个局部估计式,并在此基础上得到了关于解的一个爆破定理。
This paper discusses a class of reactiun-diffusion Systems with Dirichlet boundary Value. Under certain condion s, We obtain local estimates of the solutions to the system with the help of the eig-envalue and eigenfuction of Laplace operator. And being based up on the estimates, We also establish a blowing-up theorenl for tho solusions.
关键词
反应扩散系统
解
局部估计
BLOW-UP
reaction-diffusion system
local estimate of solution
blowing-up of solution