理论数学

Vol.5 No.2 (March 2015)

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 , 齐龙飞 , 呼青英 :河南工业大学理学院,河南 郑州

 

关键词:

爆破多重非线性抛物方程组Levine凸性方法Blowup of Solution Doubly Nonlinear Parabolic Equations Levine’s Concavity Method

 

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.

文章引用:

苏 璟 , 齐龙飞 , 呼青英 (2015) 多重非线性抛物方程组解的爆破。 理论数学, 5, 59-65. doi: 10.12677/PM.2015.52009

 

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