Boundary problems for fractional Laplacians

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	Boundary problems for fractional Laplacians
	Guan, QY; Ma, ZM
	2005-09-01
发表期刊	STOCHASTICS AND DYNAMICS
ISSN	0219-4937
卷号	5 期号:3 页码:385-424
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.
关键词	reflected alpha-stable processes fractional Laplacian Feynman-Kac semigroup boundary value problem
语种	英语
WOS研究方向	Mathematics
WOS类目	Statistics & Probability
WOS记录号	WOS:000231898500002
出版者	WORLD SCIENTIFIC PUBL CO PTE LTD
引用统计
文献类型	期刊论文
条目标识符	http://ir.amss.ac.cn/handle/2S8OKBNM/2097
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.