Essential Forward Weak KAM Solution for the Convex Hamilton-Jacobi Equation

doi:10.1007/s10114-022-1063-0

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	Essential Forward Weak KAM Solution for the Convex Hamilton-Jacobi Equation
	Su, Xi Feng 1; Zhang, Jian Lu 2,3
	2022-02-15
发表期刊	ACTA MATHEMATICA SINICA-ENGLISH SERIES
ISSN	1439-8516
页码	10
摘要	For a convex, coercive continuous Hamiltonian on a closed Riemannian manifold M, we construct a unique forward weak KAM solution of H(x, d(x)u) = c(H) by a vanishing discount approach, where c(H) is the Maane critical value. We also discuss the dynamical significance of such a special solution.
关键词	Hamilton-Jacobi equation discounted equation weak KAM solution Aubry-Mather theory viscosity solution
DOI	10.1007/s10114-022-1063-0
收录类别	SCI
语种	英语
资助项目	National Natural Science Foundation of China[11971060]
WOS研究方向	Mathematics
WOS类目	Mathematics, Applied ; Mathematics
WOS记录号	WOS:000758997200001
出版者	SPRINGER HEIDELBERG
引用统计
文献类型	期刊论文
条目标识符	http://ir.amss.ac.cn/handle/2S8OKBNM/60063
专题	中国科学院数学与系统科学研究院
通讯作者	Zhang, Jian Lu
作者单位	1.Beijing Normal Univ, Sch Math Sci, Lab Math & Complex Syst, Minist Educ, Beijing 100875, Peoples R China 2.Chinese Acad Sci, Acad Math & Syst Sci, Hua Loo Keng Key Lab Math, Beijing 100190, Peoples R China 3.Chinese Acad Sci, Acad Math & Syst Sci, Math Inst, Beijing 100190, Peoples R China
推荐引用方式 GB/T 7714	Su, Xi Feng,Zhang, Jian Lu. Essential Forward Weak KAM Solution for the Convex Hamilton-Jacobi Equation[J]. ACTA MATHEMATICA SINICA-ENGLISH SERIES,2022:10.
APA	Su, Xi Feng,&Zhang, Jian Lu.(2022).Essential Forward Weak KAM Solution for the Convex Hamilton-Jacobi Equation.ACTA MATHEMATICA SINICA-ENGLISH SERIES,10.
MLA	Su, Xi Feng,et al."Essential Forward Weak KAM Solution for the Convex Hamilton-Jacobi Equation".ACTA MATHEMATICA SINICA-ENGLISH SERIES (2022):10.