Essential Forward Weak KAM Solution for the Convex Hamilton-Jacobi Equation
文献类型：期刊论文
| 作者 | Su, Xi Feng1; Zhang, Jian Lu2,3 |
| 刊名 | ACTA MATHEMATICA SINICA-ENGLISH SERIES
 |
| 出版日期 | 2022-02-15 |
| 页码 | 10 |
| 关键词 | Hamilton-Jacobi equation discounted equation weak KAM solution Aubry-Mather theory viscosity solution |
| ISSN号 | 1439-8516 |
| DOI | 10.1007/s10114-022-1063-0 |
| 英文摘要 | 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. |
| 资助项目 | National Natural Science Foundation of China[11971060] |
| WOS研究方向 | Mathematics |
| 语种 | 英语 |
| WOS记录号 | WOS:000758997200001 |
| 出版者 | SPRINGER HEIDELBERG |
| 源URL | [http://ir.amss.ac.cn/handle/2S8OKBNM/60062]  |
| 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. |
入库方式： OAI收割
来源：数学与系统科学研究院
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