半线性抛物方程初边值问题解的Blow up  

The Blowing up of the Solution for Initial-Boundary Value Problem of Semilinear Parabolic Equations

作　　者：查中伟[1] 

机构地区：[1]葛洲坝水电工程学院,宜昌443002

出　　处：《应用数学》1992年第1期82-87,共6页Mathematica Applicata

摘　　要：本文考虑了一类半线性抛物型方程的第三类非线性初边值问题,在某些假设条件下,证明了其解在有限时间内Blow up.This paper deals with the initial-boundary value problem of the third nonlinear boundary condition for a kind of semilinear parabolic equation and it is proved that the blowing-up of the solution is obtained in a definite time under some assumed conditions.

关 键 词：抛物型方程 初边值问题 解 BLOW-UP 

分 类 号：O175.2[理学—数学]