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

doi:10.1016/j.jde.2019.03.020

	Dynamic and asymptotic behavior of singularities of certain weak KAM solutions on the torus
	Cannarsa, Piermarco 3; Chen, Qinbo 2; Cheng, Wei 1
刊名	JOURNAL OF DIFFERENTIAL EQUATIONS
	2019-08-05
卷号	267 期号:4 页码:2448-2470
关键词	Hamilton-Jacobi equation Weak KAM theory Generalized characteristic Singularities
ISSN号	0022-0396
DOI	10.1016/j.jde.2019.03.020
英文摘要	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.
WOS研究方向	Mathematics
语种	英语
出版者	ACADEMIC PRESS INC ELSEVIER SCIENCE
WOS记录号	WOS:000468110200013
内容类型	期刊论文
源URL	[http://ir.amss.ac.cn/handle/2S8OKBNM/34700]
专题	中国科学院数学与系统科学研究院
通讯作者	Cheng, Wei
作者单位	1.Nanjing Univ, Dept Math, Nanjing 210093, Jiangsu, Peoples R China 2.Chinese Acad Sci, Acad Math & Syst Sci, Morningside Ctr Math, Beijing 100190, Peoples R China 3.Univ Roma Tor Vergata, Dipartimento Matemat, Via Ric Sci 1, I-00133 Rome, Italy
推荐引用方式 GB/T 7714	Cannarsa, Piermarco,Chen, Qinbo,Cheng, Wei. Dynamic and asymptotic behavior of singularities of certain weak KAM solutions on the torus[J]. JOURNAL OF DIFFERENTIAL EQUATIONS,2019,267(4):2448-2470.
APA	Cannarsa, Piermarco,Chen, Qinbo,&Cheng, Wei.(2019).Dynamic and asymptotic behavior of singularities of certain weak KAM solutions on the torus.JOURNAL OF DIFFERENTIAL EQUATIONS,267(4),2448-2470.
MLA	Cannarsa, Piermarco,et al."Dynamic and asymptotic behavior of singularities of certain weak KAM solutions on the torus".JOURNAL OF DIFFERENTIAL EQUATIONS 267.4(2019):2448-2470.