Integration by parts formula for regional fractional Laplacian

doi:10.1007/s00220-006-0054-9

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	Integration by parts formula for regional fractional Laplacian
	Guan, Qing-Yang
	2006-09-01
发表期刊	COMMUNICATIONS IN MATHEMATICAL PHYSICS
ISSN	0010-3616
卷号	266 期号:2 页码:289-329
摘要	We obtain the integration by parts formula for the regional fractional Laplacian which are generators of symmetric alpha-stable processes on a subset of R-n ( 0 < alpha < 2). In this formula, a local operator appears on the boundary connected with the regional fractional Laplacian on domain. Hence this formula can be understood as the Green formula for the regional fractional Laplacian. The similar integration by parts formula is also given for more general nonlocal operators. The reflected stable-like processes are studied.
DOI	10.1007/s00220-006-0054-9
语种	英语
WOS研究方向	Physics
WOS类目	Physics, Mathematical
WOS记录号	WOS:000239148300001
出版者	SPRINGER
引用统计
文献类型	期刊论文
条目标识符	http://ir.amss.ac.cn/handle/2S8OKBNM/2905
专题	应用数学研究所
通讯作者	Guan, Qing-Yang
作者单位	Chinese Acad Sci, Acad Math & Syst Sci, Inst Appl Math, Beijing 100080, Peoples R China
推荐引用方式 GB/T 7714	Guan, Qing-Yang. Integration by parts formula for regional fractional Laplacian[J]. COMMUNICATIONS IN MATHEMATICAL PHYSICS,2006,266(2):289-329.
APA	Guan, Qing-Yang.(2006).Integration by parts formula for regional fractional Laplacian.COMMUNICATIONS IN MATHEMATICAL PHYSICS,266(2),289-329.
MLA	Guan, Qing-Yang."Integration by parts formula for regional fractional Laplacian".COMMUNICATIONS IN MATHEMATICAL PHYSICS 266.2(2006):289-329.