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.
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页码：261 / 270
页数：10
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