非线性抛物型方程初边值问题解的Blow up性质  

BLOW UP PROPERTY OF THE SOLUTION FOR INITIAL-BOUNDARY VALUE PROBLEM OF NONLINEAR PARABOLIC EQUATIONS

作　　者：向以华[1] 查中伟[1] 

机构地区：[1]重庆三峡学院数学与计算机科学学院,重庆万州404000

出　　处：《数学杂志》2009年第4期521-525,共5页Journal of Mathematics

基　　金：重庆市科委科技基金项目(CSTC;2005EA7036)

摘　　要：本文研究一类非线性抛物型方程具有非线性边界条件的初边值问题.利用抛物型方程最大值原理和凸性方法证明了该问题的解在有限时间内爆破.推广了文献[7-9]的结果.This paper deals with the initial-boundary value problem under the third nonlinear boundary condition for a kind of nonlinear parabolic equations. By applying the maximum value theory of parabolic equation and convex method, it is proved that the blow up of solution in a definite time under some assumed conditions. The conclusion popularizes the results of refernces [7-9].

关 键 词：非线性抛物型方程 初边值问题 凸性方法 解的爆破 

分 类 号：O175.26[理学—数学]