PM  >> 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

  • 全文下载: PDF(488KB) HTML   XML   PP.59-65   DOI: 10.12677/PM.2015.52009  
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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. 多重非线性抛物方程组解的爆破[J]. 理论数学, 2015, 5(2): 59-65. http://dx.doi.org/10.12677/PM.2015.52009

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