中国科学院机构知识库网格
Chinese Academy of Sciences Institutional Repositories Grid
首页 机构 成果 学者
  
  1. CAS IR Grid
  2. 数学与系统科学研究院
  3. 中国科学院数学与系统科学研究院
Convergence of Viscosity Solutions of Generalized Contact Hamilton-Jacobi Equations

文献类型：期刊论文

作者Wang, Ya-Nan5; Yan, Jun3,4; Zhang, Jianlu1,2
刊名ARCHIVE FOR RATIONAL MECHANICS AND ANALYSIS
出版日期2021-05-24
页码18
ISSN号0003-9527
DOI10.1007/s00205-021-01667-y
英文摘要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.
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
语种英语
WOS记录号WOS:000653602700001
出版者SPRINGER
源URL[http://ir.amss.ac.cn/handle/2S8OKBNM/58638]  
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.Chinese Acad Sci, Acad Math & Syst Sci, Math Inst, Beijing 100190, Peoples R China
2.Chinese Acad Sci, Acad Math & Syst Sci, Hua Loo Keng Key Lab Math, Beijing 100190, Peoples R China
3.Shanghai Key Lab Contemporary Appl Math, Shanghai 200433, Peoples R China
4.Fudan Univ, Sch Math Sci, Shanghai 200433, Peoples R China
5.Nanjing Normal Univ, Sch Math Sci, Nanjing 210097, 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.

入库方式： OAI收割

来源：数学与系统科学研究院

浏览0
下载0
收藏0
其他版本

除非特别说明，本系统中所有内容都受版权保护，并保留所有权利。