Convergence of Viscosity Solutions of Generalized Contact Hamilton-Jacobi Equations

doi:10.1007/s00205-021-01667-y

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	Convergence of Viscosity Solutions of Generalized Contact Hamilton-Jacobi Equations
	Wang, Ya-Nan 1; Yan, Jun 2,3; Zhang, Jianlu 4,5
	2021-05-24
发表期刊	ARCHIVE FOR RATIONAL MECHANICS AND ANALYSIS
ISSN	0003-9527
页码	18
摘要	For any compact connected manifold M, we consider the generalized contact Hamiltonian H(x, p, u) defined on T*MxR which is convex in p and monotonically increasing in u. Let u(epsilon)(-) : M -> R be the viscosity solution of the parametrized contact Hamilton-Jacobi equation H(x,d(x)u(epsilon)(-)(x),epsilon u(epsilon)(-)(x)) = c(H), with c(H) being the Mane Critical Value. We prove that u(epsilon)(-) converges uniformly, as epsilon -> 0(+), to a specific viscosity solution u(0)(-)0 of the critical equation H(x, d(x)u(0)(-) (x), 0) = c(H), which can be characterized as a minimal combination of the associated Peierls barrier functions.
DOI	10.1007/s00205-021-01667-y
收录类别	SCI
语种	英语
资助项目	National Natural Science Foundation of China[11901560] ; China Postdoctoral Science Foundation[2017M611439] ; Shanghai Science and Technology Commission[17XD1400500]
WOS研究方向	Mathematics ; Mechanics
WOS类目	Mathematics, Applied ; Mechanics
WOS记录号	WOS:000653602700001
出版者	SPRINGER
引用统计
文献类型	期刊论文
条目标识符	http://ir.amss.ac.cn/handle/2S8OKBNM/58639
专题	中国科学院数学与系统科学研究院
通讯作者	Wang, Ya-Nan
作者单位	1.Nanjing Normal Univ, Sch Math Sci, Nanjing 210097, 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 4.Chinese Acad Sci, Acad Math & Syst Sci, Hua Loo Keng Key Lab Math, Beijing 100190, Peoples R China 5.Chinese Acad Sci, Acad Math & Syst Sci, Math Inst, Beijing 100190, Peoples R China
推荐引用方式 GB/T 7714	Wang, Ya-Nan,Yan, Jun,Zhang, Jianlu. Convergence of Viscosity Solutions of Generalized Contact Hamilton-Jacobi Equations[J]. ARCHIVE FOR RATIONAL MECHANICS AND ANALYSIS,2021:18.
APA	Wang, Ya-Nan,Yan, Jun,&Zhang, Jianlu.(2021).Convergence of Viscosity Solutions of Generalized Contact Hamilton-Jacobi Equations.ARCHIVE FOR RATIONAL MECHANICS AND ANALYSIS,18.
MLA	Wang, Ya-Nan,et al."Convergence of Viscosity Solutions of Generalized Contact Hamilton-Jacobi Equations".ARCHIVE FOR RATIONAL MECHANICS AND ANALYSIS (2021):18.