KMS Of Academy of mathematics and systems sciences, CAS
| Boundary problems for fractional Laplacians | |
Guan, QY ; Ma, ZM
| |
| 2005-09-01 | |
| Source Publication | STOCHASTICS AND DYNAMICS
 |
| ISSN | 0219-4937 |
| Volume | 5Issue:3Pages:385-424 |
| Abstract | 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. |
| Keyword | reflected alpha-stable processes fractional Laplacian Feynman-Kac semigroup boundary value problem |
| Language | 英语 |
| WOS Research Area | Mathematics |
| WOS Subject | Statistics & Probability |
| WOS ID | WOS:000231898500002 |
| Publisher | WORLD SCIENTIFIC PUBL CO PTE LTD |
| Citation statistics | |
| Document Type | 期刊论文 |
| Identifier | http://ir.amss.ac.cn/handle/2S8OKBNM/2097 |
| Collection | 应用数学研究所 |
| Corresponding Author | Guan, QY |
| Affiliation | Chinese Acad Sci, Inst Appl Math, Acad Math & Syst Sci, Beijing 100080, Peoples R China |
| Recommended Citation 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. |
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