多重非线性抛物方程组解的爆破  

Blowup of Solutions for a Class of Doubly Nonlinear Parabolic Equations

作　　者：苏璟[1] 齐龙飞 呼青英[1] 

机构地区：[1]河南工业大学理学院,河南郑州

出　　处：《理论数学》2015年第2期59-65,共7页Pure Mathematics

摘　　要：本文研究了一类多重非线性抛物方程组解的爆破,利用修正的Levine凸性方法,对齐次Dirichlet边界和非线性项和初始条件的适当条件下,给出了解爆破时间的充分条件。This paper is concerned with a class of doubly nonlinear parabolic systems. Under the homogeneous Dirichlet conditions and suitable conditions on the nonlinearity and certain initial datum, a sufficient condition for finite time blowup of its solution in a bounded domain is gave by using a modification of Levine’s concavity method.

关 键 词：爆破 多重非线性抛物方程组 Levine凸性方法 

分 类 号：O1[理学—数学]