Dynamic and asymptotic behavior of singularities of certain weak KAM solutions on the torus

被引：5
|
作者：
Cannarsa, Piermarco [1 ]
Chen, Qinbo [2 ]
Cheng, Wei [3 ]
机构：
[1] Univ Roma Tor Vergata, Dipartimento Matemat, Via Ric Sci 1, I-00133 Rome, Italy
[2] Chinese Acad Sci, Acad Math & Syst Sci, Morningside Ctr Math, Beijing 100190, Peoples R China
[3] Nanjing Univ, Dept Math, Nanjing 210093, Jiangsu, Peoples R China
来源：
JOURNAL OF DIFFERENTIAL EQUATIONS | 2019年 / 267卷 / 04期
基金：
中国国家自然科学基金; 中国博士后科学基金;
关键词：
Hamilton-Jacobi equation; Weak KAM theory; Generalized characteristic; Singularities; LASRY-LIONS; TOTAL DISCONNECTEDNESS; VISCOSITY SOLUTIONS; HOMOCLINIC ORBITS; SET;
D O I：
10.1016/j.jde.2019.03.020
中图分类号：
O1 [数学];
学科分类号：
0701 ; 070101 ;
摘要：
For mechanical Hamiltonian systems on the torus, we study the dynamical properties of the generalized characteristic semiflows associated with the Hamilton-Jacobi equations, and build the relation between the omega-limit sets of the semiflows and the projected Aubry sets. (C) 2019 Elsevier Inc. All rights reserved.
引用
收藏
页码：2448 / 2470
页数：23
相关论文
共 50 条
12345