Boundary problems for fractional Laplacians
文献类型：期刊论文
| 作者 | Guan, QY ; Ma, ZM
|
| 刊名 | STOCHASTICS AND DYNAMICS
 |
| 出版日期 | 2005-09-01 |
| 卷号 | 5期号:3页码:385-424 |
| 关键词 | reflected alpha-stable processes fractional Laplacian Feynman-Kac semigroup boundary value problem |
| ISSN号 | 0219-4937 |
| 英文摘要 | By making use of the reflected a-stable process on a closed domain of R-n and its killed subprocess on part of the domain, in this paper we study the boundary value problem for the Schrodinger type equation of a fractional Laplacian. The boundary condition is imposed partly follow Dirichlet condition and partly follow Neuman condition. We obtain the existence and the uniqueness resutls. The solution is expressed as a functional of the reflected alpha-stable process. |
| WOS研究方向 | Mathematics |
| 语种 | 英语 |
| WOS记录号 | WOS:000231898500002 |
| 出版者 | WORLD SCIENTIFIC PUBL CO PTE LTD |
| 源URL | [http://ir.amss.ac.cn/handle/2S8OKBNM/2096]  |
| 专题 | 应用数学研究所 |
| 通讯作者 | Guan, QY |
| 作者单位 | Chinese Acad Sci, Inst Appl Math, Acad Math & Syst Sci, Beijing 100080, Peoples R China |
| 推荐引用方式 GB/T 7714 | Guan, QY,Ma, ZM. Boundary problems for fractional Laplacians[J]. STOCHASTICS AND DYNAMICS,2005,5(3):385-424. |
| APA | Guan, QY,&Ma, ZM.(2005).Boundary problems for fractional Laplacians.STOCHASTICS AND DYNAMICS,5(3),385-424. |
| MLA | Guan, QY,et al."Boundary problems for fractional Laplacians".STOCHASTICS AND DYNAMICS 5.3(2005):385-424. |
入库方式： OAI收割
来源：数学与系统科学研究院
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