Critical exponents of the non-Newtonian polytropic filtration equation with nonlinear boundary condition

被引：38

作者：

Wang, Zejia

Yin, Jingxue

Wang, Chunpeng ^{[1
]}

机构：

[1] Jilin Univ, Dept Math, Changchun 130012, Peoples R China

[2] NE Normal Univ, Dept Math, Changchun 130024, Peoples R China

来源：

APPLIED MATHEMATICS LETTERS | 2007年 / 20卷 / 02期

基金：

高等学校博士学科点专项科研基金; 中国国家自然科学基金;

关键词：

non-Newtonian polytropic filtration equation; nonlinear boundary flux; global existence; blow-up; critical exponent;

D O I：

10.1016/j.aml.2006.03.008

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

This work is concerned with the critical exponent of the non-Newtonian polytropic filtration equation with nonlinear boundary conditions. We obtain the critical global existence exponent and critical Fujita exponent by constructing various self-similar supersolutions and subsolutions. (C) 2006 Elsevier Ltd. All rights reserved.

引用

页码：142 / 147

页数：6

共 10 条

[1] The role of critical exponents in blow-up theorems: The sequel [J].