一类抛物方程组解的爆破速率估计  

Blow-up Rate Estimates for the Solutions to Some Parabolic Systems

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》2008年第2期1-5,共5页Journal of Zhejiang Wanli University

摘　　要：文章主要探讨了一类抛物方程组解的爆破速率估计.利用上、下解原理,通过构造相应的常微分方程组,获得解(u,v)的爆破速率下界估计;利用反证法,由数学分析原理,得到解(u,v)的爆破速率上界估计的证明。In this paper,estimates for blow-up rates for the solutions to parabolic systems have been discussed. Using the super and subsolutions＇ principle,the lower bounds of blow-up rate estimates of the solution（u,v）are obtained. By the disproof method, the proof of the upper bound estimates for the blow-up rate of the solution （u,v） is given.

关 键 词：爆破速率估计 上、下解 JENSEN不等式 YOUNG不等式 

分 类 号：O175.26[理学—数学]