KMS Of Academy of mathematics and systems sciences, CAS
Essential Forward Weak KAM Solution for the Convex Hamilton-Jacobi Equation | |
Su, Xi Feng1; Zhang, Jian Lu2,3 | |
2022-02-15 | |
发表期刊 | ACTA MATHEMATICA SINICA-ENGLISH SERIES |
ISSN | 1439-8516 |
页码 | 10 |
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. |
关键词 | Hamilton-Jacobi equation discounted equation weak KAM solution Aubry-Mather theory viscosity solution |
DOI | 10.1007/s10114-022-1063-0 |
收录类别 | SCI |
语种 | 英语 |
资助项目 | National Natural Science Foundation of China[11971060] |
WOS研究方向 | Mathematics |
WOS类目 | Mathematics, Applied ; Mathematics |
WOS记录号 | WOS:000758997200001 |
出版者 | SPRINGER HEIDELBERG |
引用统计 | |
文献类型 | 期刊论文 |
条目标识符 | http://ir.amss.ac.cn/handle/2S8OKBNM/60063 |
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. |
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