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
收藏
页码：4047 / 4088
页数：42
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