Weakly coupled systems of fully nonlinear parabolic equations in the Heisenberg group

被引：0

作者：

Liu, Qing ^{[1
]}

Zhou, Xiaodan ^{[2
]}

机构：

[1] Fukuoka Univ, Dept Appl Math, Fukuoka, Fukuoka 8140180, Japan

[2] Worcester Polytech Inst, Dept Math Sci, Worcester, MA 01609 USA

来源：

NONLINEAR ANALYSIS-THEORY METHODS & APPLICATIONS | 2018年 / 174卷

关键词：

Heisenberg group; Viscosity solutions; Weakly coupled parabolic systems; P-LAPLACE EQUATION; VISCOSITY SOLUTIONS; CARNOT GROUPS; HARMONIC FUNCTIONS;

D O I：

10.1016/j.na.2018.04.008

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

This paper is devoted to viscosity solutions to weakly coupled systems of fully nonlinear parabolic equations in the first Heisenberg group. We extend well-posedness results in the Euclidean space to the Heisenberg group, including the uniqueness and existence of solutions with exponential growth at space infinity under monotonicity and other regularity assumptions on the parabolic operators. In addition, Lipschitz preserving properties of the system are also studied. (C) 2018 Elsevier Ltd. All rights reserved.

引用

页码：54 / 78

页数：25

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