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
DOI: 10.12677/PM.2015.52009, PDF, HTML, XML, 下载: 2,533  浏览: 10,380 
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。
Abstract: 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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