On the Negative Limit of Viscosity Solutions for Discounted Hamilton-Jacobi Equations
文献类型：期刊论文
| 作者 | Wang, Ya-Nan2; Yan, Jun3,4; Zhang, Jianlu1,5 |
| 刊名 | JOURNAL OF DYNAMICS AND DIFFERENTIAL EQUATIONS
 |
| 出版日期 | 2022-11-24 |
| 页码 | 19 |
| 关键词 | Discounted Hamilton-Jacobi equation Viscosity solution Conjugated weak KAM solutions Aubry Mather sets Mane's genericity |
| ISSN号 | 1040-7294 |
| DOI | 10.1007/s10884-022-10227-1 |
| 英文摘要 | Suppose M is a closed Riemannian manifold. For a C-2 generic (in the sense of Mane) Tonelli Hamiltonian H : T* M -> R, the minimal viscosity solution u(lambda)(-) : M -> R of the negative discounted equation -lambda u + H(x, d(x)u) = c(H), x is an element of M , lambda > 0 with the Mane's critical value c(H) converges to a uniquely established viscosity solution u(0)(-) of the critical Hamilton-Jacobi equation H (x, d(x)u) = c(H), x is an element of M as lambda -> 0(+). We also propose a dynamical interpretation of u(0)(-). |
| 资助项目 | National Key Research and Development Program of China[2022YFA1007500] ; National Natural Science Foundation of China[11501437] ; Shanghai Science and Technology Commission[17XD1400500] |
| WOS研究方向 | Mathematics |
| 语种 | 英语 |
| WOS记录号 | WOS:000888685900002 |
| 出版者 | SPRINGER |
| 源URL | [http://ir.amss.ac.cn/handle/2S8OKBNM/60568]  |
| 专题 | 中国科学院数学与系统科学研究院 |
| 通讯作者 | Zhang, Jianlu |
| 作者单位 | 1.Chinese Acad Sci, Acad Math & Syst Sci, Hua Loo Keng Key Lab Math, Beijing 100190, Peoples R China 2.Nanjing Normal Univ, Sch Math Sci, Nanjing 210097, Peoples R China 3.Fudan Univ, Sch Math Sci, Shanghai 200433, Peoples R China 4.Shanghai Key Lab Contemporary Appl Math, Shanghai 200433, 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. On the Negative Limit of Viscosity Solutions for Discounted Hamilton-Jacobi Equations[J]. JOURNAL OF DYNAMICS AND DIFFERENTIAL EQUATIONS,2022:19. |
| APA | Wang, Ya-Nan,Yan, Jun,&Zhang, Jianlu.(2022).On the Negative Limit of Viscosity Solutions for Discounted Hamilton-Jacobi Equations.JOURNAL OF DYNAMICS AND DIFFERENTIAL EQUATIONS,19. |
| MLA | Wang, Ya-Nan,et al."On the Negative Limit of Viscosity Solutions for Discounted Hamilton-Jacobi Equations".JOURNAL OF DYNAMICS AND DIFFERENTIAL EQUATIONS (2022):19. |
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。