A variational principle for contact Hamiltonian systems

被引：15

作者：

Wang, Ya-Nan ^{[1
]}

Yan, Jun ^{[2
,3
]}

机构：

[1] Nanjing Normal Univ, Sch Math Sci, Nanjing 210097, Jiangsu, Peoples R China

[2] Fudan Univ, Sch Math Sci, Shanghai 200433, Peoples R China

[3] Shanghai Key Lab Contemporary Appl Math, Shanghai 200433, Peoples R China

来源：

JOURNAL OF DIFFERENTIAL EQUATIONS | 2019年 / 267卷 / 07期

基金：

中国博士后科学基金;

关键词：

Contact Hamiltonian system; Implicit variational principle; Minimization method; VISCOSITY SOLUTIONS;

D O I：

10.1016/j.jde.2019.04.031

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

In this paper, we generalize the implicit variational principle in [9] from autonomous contact Hamiltonian systems in T*M x R with M is a compact Riemannian manifold to the non-autonomous systems with M is a complete Riemannian manifold. We also give some important properties of action minimizers (C) 2019 Elsevier Inc. All rights reserved.

引用

页码：4047 / 4088

页数：42