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
DOI: 10.12677/AAM.2015.42018, PDF, HTML, XML, 下载: 2,908  浏览: 10,351 
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。
Abstract: 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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