ON COOPERATIVE PARABOLIC SYSTEMS: HARNACK INEQUALITIES AND ASYMPTOTIC SYMMETRY

被引：44

作者：

Foeldes, J. ^{[1
]}

Polacik, P. ^{[1
]}

机构：

[1] Univ Minnesota, Sch Math, Minneapolis, MN 55455 USA

来源：

DISCRETE AND CONTINUOUS DYNAMICAL SYSTEMS | 2009年 / 25卷 / 01期

关键词：

Parabolic cooperative systems; positive solutions; asymptotic symmetry; Harnack inequality; SEMILINEAR ELLIPTIC-SYSTEMS; POSITIVE SOLUTIONS; MAXIMUM PRINCIPLE; BOUNDED DOMAINS; EQUATIONS; SPACE; IRN;

D O I：

10.3934/dcds.2009.25.133

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

We consider fully nonlinear weakly coupled systems of parabolic equations on a bounded reflectionally symmetric domain. Assuming the system is cooperative we prove the asymptotic symmetry of positive bounded solutions. To facilitate an application of the method of moving hyperplanes, we derive Harnack type estimates for linear cooperative parabolic systems.

引用

页码：133 / 157

页数：25

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