多重非线性退化的p-Laplacian抛物方程组解的爆破  

Blowup of Solutions for a System of Doubly Nonlinear Degenerate Parabolic Equations with p-Laplacian

作　　者：齐龙飞 苏璟[1] 呼青英[1] 

机构地区：[1]河南工业大学理学院,河南郑州

出　　处：《应用数学进展》2015年第2期129-135,共7页Advances in Applied Mathematics

摘　　要：本文研究了一类多重非线性退化的p-Laplacian抛物方程组解的爆破,利用修正的Levine凸性方法,在非线性项和初始条件的适当条件下,给出了解爆破时间的下界。This paper is concerned with a system of doubly nonlinear degenerate parabolic equations with p-Laplacian. We prove that, under suitable conditions on the nonlinearity and certain initial datum, the lower bound for the blowup time is given if blowup does occur 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]