Doubly nonlinear parabolic equation with nonlinear boundary conditions

被引：2

作者：

Wang, S ^{[1
]}

Deng, JC ^{[1
]}

Shi, J ^{[1
]}

机构：

[1] Nanjing Univ, Dept Math, Nanjing 210093, Peoples R China

来源：

JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS | 2001年 / 255卷 / 01期

关键词：

doubly nonlinear parabolic equation; nonlinear boundary conditions; global solutions; finite time blow-up; upper and lower solutions method;

D O I：

10.1006/jmaa.2000.7179

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

This paper deals with the existence and nonexistence of global positive solutions of the doubly nonlinear parabolic equation with nonlinear boundary conditions. Necessary and sufficient conditions in order that all positive solutions exist globally are obtained by using the upper and lower solutions method. (C) 2001 Academic Press.

引用

页码：109 / 121

页数：13

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