Proper spaces for the asymptotic convergence of solutions of porous medium equation

被引：3

作者：

Wang, Liangwei ^{[1
]}

Yin, Jingxue ^{[2
]}

机构：

[1] Chongqing Three Gorges Univ, Coll Math & Stat, Chongqing 404000, Peoples R China

[2] South China Normal Univ, Sch Math Sci, Guangzhou 510631, Guangdong, Peoples R China

来源：

NONLINEAR ANALYSIS-REAL WORLD APPLICATIONS | 2017年 / 38卷

关键词：

Proper spaces; Improper spaces; Asymptotic convergence; Porous medium equation; INITIAL VALUES; R-N; BEHAVIOR; ABSORPTION;

D O I：

10.1016/j.nonrwa.2017.05.004

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

In this paper, we consider the problem that a weighted L-infinity space W-v(R-N) is proper or not for the asymptotic convergence of solutions of the porous medium equation. We find that there exists a critical exponent V = sigma of the proper spaces for the asymptotic problem proposed by Alikakos and Rostamian (1984). (C) 2017 Elsevier Ltd. All rights reserved.

引用

页码：261 / 270

页数：10

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