| 带有非局部边界条件的反应--扩散方程组解的爆破 |
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| 引用本文： | 周杰荣,何文平.带有非局部边界条件的反应--扩散方程组解的爆破[J].浙江万里学院学报,2006,19(2):20-24. |
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| 作者姓名： | 周杰荣 何文平 |
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| 作者单位： | 炮兵学院南京分院,江苏,南京,211132 |
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| 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.
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| 关 键 词： | 上、下解 爆破与整体存在 比较引理 |
| 文章编号： | 1671-2250（2006）02-0020-05 |
| 收稿时间： | 2005-11-11 |
| 修稿时间： | 2005年11月11 |
Blow-up of Solutions to the Reaction-diffusion Systems with Non-local Boundary Conditions |
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| ZHOU Jie-rong,HE Wen-ping.Blow-up of Solutions to the Reaction-diffusion Systems with Non-local Boundary Conditions[J].Journal of Zhejiang Wanli University,2006,19(2):20-24. |
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| Authors: | ZHOU Jie-rong HE Wen-ping |
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| Abstract: | 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. |
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| Keywords: | super and sub-solution blow up and global existence comparison lemma |
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