Integration by parts formula for regional fractional Laplacian | |
Guan, Qing-Yang![]() | |
刊名 | COMMUNICATIONS IN MATHEMATICAL PHYSICS
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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. |
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