THE LARGE TIME GENERIC FORM OF THE SOLUTION TO HAMILTON-JACOBI EQUATIONS
文献类型：期刊论文
| 作者 | Wang Jinghua3; Wen Hairui1; Zhao Yinchuan2 |
| 刊名 | ACTA MATHEMATICA SCIENTIA
 |
| 出版日期 | 2011-11-01 |
| 卷号 | 31期号:6页码:2265-2277 |
| 关键词 | Hopf-Lax formula Hamilton-Jacobi equations local regularity large time generic form |
| ISSN号 | 0252-9602 |
| 英文摘要 | We use Hopf-Lax formula to study local regularity of solution to Hamilton-Jacobi (HJ) equations of multi-dimensional space variables with convex Hamiltonian. Then we give the large time generic form of the solution to HJ equation, i.e. for most initial data there exists a constant T > 0, which depends only on the Hamiltonian and initial datum, for t > T the solution of the IVP (1.1) is smooth except for a smooth n-dimensional hypersurface, across which Du(x, t) is discontinuous. And we show that the hypersurface tends asymptotically to a given hypersurface with rate t(-1/4) |
| 资助项目 | National Natural Science Foundation of China[10871133] ; National Natural Science Foundation of China[11071246] ; National Natural Science Foundation of China[11101143] ; Central Universities[09QL48] |
| WOS研究方向 | Mathematics |
| 语种 | 英语 |
| WOS记录号 | WOS:000297610800014 |
| 出版者 | ELSEVIER SCIENCE INC |
| 源URL | [http://ir.amss.ac.cn/handle/2S8OKBNM/13172]  |
| 专题 | 中国科学院数学与系统科学研究院 |
| 通讯作者 | Wen Hairui |
| 作者单位 | 1.Beijing Inst Technol, Dept Math, Beijing 100081, Peoples R China 2.N China Elect Power Univ, Dept Math & Phys, Beijing 102206, Peoples R China 3.Chinese Acad Sci, Acad Math & Syst Sci, Beijing 100190, Peoples R China |
| 推荐引用方式 GB/T 7714 | Wang Jinghua,Wen Hairui,Zhao Yinchuan. THE LARGE TIME GENERIC FORM OF THE SOLUTION TO HAMILTON-JACOBI EQUATIONS[J]. ACTA MATHEMATICA SCIENTIA,2011,31(6):2265-2277. |
| APA | Wang Jinghua,Wen Hairui,&Zhao Yinchuan.(2011).THE LARGE TIME GENERIC FORM OF THE SOLUTION TO HAMILTON-JACOBI EQUATIONS.ACTA MATHEMATICA SCIENTIA,31(6),2265-2277. |
| MLA | Wang Jinghua,et al."THE LARGE TIME GENERIC FORM OF THE SOLUTION TO HAMILTON-JACOBI EQUATIONS".ACTA MATHEMATICA SCIENTIA 31.6(2011):2265-2277. |
入库方式： OAI收割
来源：数学与系统科学研究院
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