KMS Of Academy of mathematics and systems sciences, CAS
Convergence of Viscosity Solutions of Generalized Contact Hamilton-Jacobi Equations | |
Wang, Ya-Nan1; Yan, Jun2,3; Zhang, Jianlu4,5 | |
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. |
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