KMS Of Academy of mathematics and systems sciences, CAS
| Vanishing contact structure problem and convergence of the viscosity solutions | |
| Chen, Qinbo1; Cheng, Wei2; Ishii, Hitoshi3; Zhao, Kai2 | |
| 2019-09-02 | |
| Source Publication | COMMUNICATIONS IN PARTIAL DIFFERENTIAL EQUATIONS
 |
| ISSN | 0360-5302 |
| Volume | 44Issue:9Pages:801-836 |
| Abstract | This article is devoted to studying the vanishing contact structure problem which is a generalization of the vanishing discount problem. Let be a family of Hamiltonians of contact type with parameter and converge to G(x, p). For the contact type Hamilton-Jacobi equation with respect to we prove that, under mild assumptions, the associated viscosity solution converges to a specific viscosity solution u(0) of the vanished contact equation. As applications, we give some convergence results for the nonlinear vanishing discount problem. |
| Keyword | Hamilton-Jacobi equation convergence vanishing discount vanishing contact structure Weak KAM theory Aubry-Mather theory |
| DOI | 10.1080/03605302.2019.1608561 |
| Language | 英语 |
| Funding Project | China Postdoctoral Science Foundation[2018M641500] ; National Natural Science Foundation of China[11631006] ; National Natural Science Foundation of China[11871267] ; National Natural Science Foundation of China[11790272] ; National Natural Science Foundation of China[16H03948] ; National Natural Science Foundation of China[26220702] ; National Natural Science Foundation of China[18H00833] |
| WOS Research Area | Mathematics |
| WOS Subject | Mathematics, Applied ; Mathematics |
| WOS ID | WOS:000476841600003 |
| Publisher | TAYLOR & FRANCIS INC |
| Citation statistics | |
| Document Type | 期刊论文 |
| Identifier | http://ir.amss.ac.cn/handle/2S8OKBNM/35269 |
| Collection | 中国科学院数学与系统科学研究院 |
| Corresponding Author | Ishii, Hitoshi |
| Affiliation | 1.Chinese Acad Sci, Acad Math & Syst Sci, Morningside Ctr Math, Beijing, Peoples R China 2.Nanjing Univ, Dept Math, Nanjing, Jiangsu, Peoples R China 3.Tsuda Univ, Inst Math & Comp Sci, 2-1-1 Tsuda, Kodaira, Tokyo 1878577, Japan |
| Recommended Citation GB/T 7714 | Chen, Qinbo,Cheng, Wei,Ishii, Hitoshi,et al. Vanishing contact structure problem and convergence of the viscosity solutions[J]. COMMUNICATIONS IN PARTIAL DIFFERENTIAL EQUATIONS,2019,44(9):801-836. |
| APA | Chen, Qinbo,Cheng, Wei,Ishii, Hitoshi,&Zhao, Kai.(2019).Vanishing contact structure problem and convergence of the viscosity solutions.COMMUNICATIONS IN PARTIAL DIFFERENTIAL EQUATIONS,44(9),801-836. |
| MLA | Chen, Qinbo,et al."Vanishing contact structure problem and convergence of the viscosity solutions".COMMUNICATIONS IN PARTIAL DIFFERENTIAL EQUATIONS 44.9(2019):801-836. |
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