Vanishing contact structure problem and convergence of the viscosity solutions
文献类型：期刊论文
| 作者 | Chen, Qinbo3; Cheng, Wei2; Ishii, Hitoshi1; Zhao, Kai2 |
| 刊名 | COMMUNICATIONS IN PARTIAL DIFFERENTIAL EQUATIONS
 |
| 出版日期 | 2019-09-02 |
| 卷号 | 44期号:9页码:801-836 |
| 关键词 | Hamilton-Jacobi equation convergence vanishing discount vanishing contact structure Weak KAM theory Aubry-Mather theory |
| ISSN号 | 0360-5302 |
| DOI | 10.1080/03605302.2019.1608561 |
| 英文摘要 | 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. |
| 资助项目 | 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研究方向 | Mathematics |
| 语种 | 英语 |
| WOS记录号 | WOS:000476841600003 |
| 出版者 | TAYLOR & FRANCIS INC |
| 源URL | [http://ir.amss.ac.cn/handle/2S8OKBNM/35268]  |
| 专题 | 中国科学院数学与系统科学研究院 |
| 通讯作者 | Ishii, Hitoshi |
| 作者单位 | 1.Tsuda Univ, Inst Math & Comp Sci, 2-1-1 Tsuda, Kodaira, Tokyo 1878577, Japan 2.Nanjing Univ, Dept Math, Nanjing, Jiangsu, Peoples R China 3.Chinese Acad Sci, Acad Math & Syst Sci, Morningside Ctr Math, Beijing, Peoples R China |
| 推荐引用方式 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. |
入库方式： OAI收割
来源：数学与系统科学研究院
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