Critical exponents for nonlinear diffusion equations with nonlinear boundary sources

被引：8

作者：

Pang, Peter Y. H. ^{[2
]}

Wang, Zejia ^{[1
]}

Yin, Jingxue ^{[1
]}

机构：

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

[2] Natl Univ Singapore, Dept Math, Singapore 117543, Singapore

来源：

JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS | 2008年 / 343卷 / 02期

基金：

中国国家自然科学基金;

关键词：

critical global exponent; critical Fujita exponent; nonlinear diffusion equation;

D O I：

10.1016/j.jmaa.2008.01.093

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

This paper is concerned with the large time behavior of solutions to two types of nonlinear diffusion equations with nonlinear boundary sources on the exterior domain of the unit ball. We are interested in the critical global exponent q(0) and the critical Fujita exponent q(c) for the problems considered, and show that q(0) = q(c) for the multi-dimensional porous medium equation and non-Newtonian filtration equation with nonlinear boundary sources. This is quite different from the known results that q(0) < q(c) for the one-dimensional case. (c) 2008 Elsevier Inc. All rights reserved.

引用

页码：654 / 662

页数：9

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