AAM  >> Vol. 4 No. 2 (May 2015)

    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

  • 全文下载: PDF(344KB) HTML   XML   PP.129-135   DOI: 10.12677/AAM.2015.42018  
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作者:  

齐龙飞,苏 璟,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.

文章引用:
齐龙飞, 苏璟, 呼青英. 多重非线性退化的p-Laplacian抛物方程组解的爆破[J]. 应用数学进展, 2015, 4(2): 129-135. http://dx.doi.org/10.12677/AAM.2015.42018

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