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

页码：2448 / 2470

页数：23

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