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 | |
| Source Publication | ACTA MATHEMATICA SINICA-ENGLISH SERIES
 |
| ISSN | 1439-8516 |
| Pages | 10 |
| Abstract | 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. |
| Keyword | Hamilton-Jacobi equation discounted equation weak KAM solution Aubry-Mather theory viscosity solution |
| DOI | 10.1007/s10114-022-1063-0 |
| Indexed By | SCI |
| Language | 英语 |
| Funding Project | National Natural Science Foundation of China[11971060] |
| WOS Research Area | Mathematics |
| WOS Subject | Mathematics, Applied ; Mathematics |
| WOS ID | WOS:000758997200001 |
| Publisher | SPRINGER HEIDELBERG |
| Citation statistics | |
| Document Type | 期刊论文 |
| Identifier | http://ir.amss.ac.cn/handle/2S8OKBNM/60063 |
| Collection | 中国科学院数学与系统科学研究院 |
| Corresponding Author | Zhang, Jian Lu |
| Affiliation | 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 |
| Recommended Citation 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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