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

共 50 条

[1] COMPLEXITY OF ASYMPTOTIC BEHAVIOR OF SOLUTIONS FOR THE FRACTIONAL POROUS MEDIUM EQUATION
Hu, Yuanyuan
Wang, Liangwei
Yin, Jingxue
DISCRETE AND CONTINUOUS DYNAMICAL SYSTEMS, 2023,
[2] COMPLEXITY OF ASYMPTOTIC BEHAVIOR OF SOLUTIONS FOR THE POROUS MEDIUM EQUATION WITH ABSORPTION
Yin Jingxue
Wang Liangwei
Huang Rui
ACTA MATHEMATICA SCIENTIA, 2010, 30 (06) : 1865 - 1880
[3] COMPLEXITY OF ASYMPTOTIC BEHAVIOR OF SOLUTIONS FOR THE POROUS MEDIUM EQUATION WITH ABSORPTION
尹景学
王良伟
黄锐
Acta Mathematica Scientia, 2010, 30 (06) : 1865 - 1880
[4] Energy estimates and convergence of weak solutions of the porous medium equation
De Paula, R.
Goncalves, P.
Neumann, A.
NONLINEARITY, 2021, 34 (11) : 7872 - 7915
[5] Complicated asymptotic behavior of solutions for a porous medium equation with nonlinear sources
Liangwei Wang
Jingxue Yin
Boundary Value Problems, 2013
[6] ON THE ASYMPTOTIC BEHAVIOUR OF SOLUTIONS TO THE FRACTIONAL POROUS MEDIUM EQUATION WITH VARIABLE DENSITY
Grillo, Gabriele
Muratori, Matteo
Punzo, Fabio
DISCRETE AND CONTINUOUS DYNAMICAL SYSTEMS, 2015, 35 (12) : 5927 - 5962
[7] On the Asymptotic Stability of Stationary Solutions of the Inviscid Incompressible Porous Medium Equation
Tarek M. Elgindi
Archive for Rational Mechanics and Analysis, 2017, 225 : 573 - 599
[8] CRITICAL EXPONENT FOR THE ASYMPTOTIC BEHAVIOR OF RESCALED SOLUTIONS TO THE POROUS MEDIUM EQUATION
Wang, Liangwei
Yin, Jingxue
ELECTRONIC JOURNAL OF DIFFERENTIAL EQUATIONS, 2017,
[9] The asymptotic behaviour of solutions of a porous medium equation with bounded measurable coefficients
Cho, CK
Choe, HJ
JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS, 1997, 210 (01) : 241 - 256
[10] Complicated asymptotic behavior of solutions for porous medium equation in unbounded space
Wang, Liangwei
Yin, Jingxue
Zhou, Yong
JOURNAL OF DIFFERENTIAL EQUATIONS, 2018, 264 (10) : 6302 - 6324

← 1 2 3 4 5 →