摘要
本文研究由四个反应扩散方程组成的强耦合方程组。利用算子半群理论,上、下解方法和能量积分等经典分析方法,论证此类方程组的整体解的存在唯一性和有界性.
This paper deals with a strongly coupled system that consists of four reaction-diffusion equations. The existence, uniqueness and boundedness of the global solutions are proved by using the classical analysis and methods, such as semigroup theorey, upper-lower solutions method and energy integral.
出处
《数学进展》
CSCD
北大核心
2002年第5期433-442,共10页
Advances in Mathematics（China）
基金
Project supported by NSFC(No.19871051
No.19601038)
the Outstanding Young People SF of Henan Province(No.0016)
the NSF of Henan Province(No.004052000).
关键词
强耦合反应扩散方程组
定性分析
整体有界解
半群理论
strongly couped reaction-diffusion system
global bounded solution
semigroup theory
upper and lower solutions
