一个带非局部源的反应扩散方程组解的存在性和渐近性态  

Existence and Asymptotic Behavior of Solution for a Reaction Diffusion System with Nonlocal Source

作　　者：栗付才[1] 谢春红[1] 

机构地区：[1]南京大学数学系,江苏南京210093

出　　处：《数学学报（中文版）》2002年第6期1185-1196,共12页Acta Mathematica Sinica：Chinese Series

摘　　要：本文研究带非局部源的半线性反应扩散方程组,并通过建立比较定理,利用Schauder不动点定理证明古典解的存在唯一性,得到了解的爆破点集与解的渐近性态.Abstract In this paper, a semi-linear reaction diffusion system with nonlocal source is considered, and existence and uniqueness of the classical solution are proved by establishing a comparison theorem and employing the Schauder fixed point theorem. The blow-up set and asymptotic behavior of solution are also obtained.

关 键 词：反应扩散方程组 存在性 非局部源 古典解 爆破点集 解 渐近性态 

分 类 号：O175.26[理学—数学]