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
刊名	COMMUNICATIONS IN MATHEMATICAL PHYSICS
	2006-09-01
卷号	266 期号:2 页码:289-329
ISSN号	0010-3616
DOI	10.1007/s00220-006-0054-9
英文摘要	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.
语种	英语
出版者	SPRINGER
WOS记录号	WOS:000239148300001
内容类型	期刊论文
源URL	[http://ir.amss.ac.cn/handle/2S8OKBNM/2904]
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.