带有非局部边界条件的反应——扩散方程组解的爆破  

Blow-up of Solutions to the Reaction-diffusion Systems with Non-local Boundary Conditions

作　　者：周杰荣[1] 何文平[1] 

机构地区：[1]炮兵学院南京分院,江苏南京211132

出　　处：《浙江万里学院学报》2006年第2期20-24,共5页Journal of Zhejiang Wanli University

摘　　要：文章主要探讨了一类带有特殊边界条件的反应—扩散方程组解的爆破或整体存在的充分条件.给出方程组上、下解的定义,由比较引理,利用上、下解方法,得出定理的证明.这种研究偏微分解的性质的方法具有一定的代表性.In this paper, the necessary conditions of blow-up or global existence of the reaction-diffusion systems with special boundary conditions have been studied. We first give the definition of super and sub-solutions of the systems, then, by the comparison theorem, we use the method of the super and sub-solution to prove the main theorem. The way of studying the solutions of partial differential equations in this paper is paradigmatic.

关 键 词：上 下解 爆破与整体存在 比较引理 

分 类 号：O175.26[理学—数学]