Integration by parts formula for regional fractional Laplacian

被引：107

作者：

Guan, Qing-Yang ^{[1
]}

机构：

[1] Chinese Acad Sci, Acad Math & Syst Sci, Inst Appl Math, Beijing 100080, Peoples R China

来源：

COMMUNICATIONS IN MATHEMATICAL PHYSICS | 2006年 / 266卷 / 02期

关键词：

D O I：

10.1007/s00220-006-0054-9

中图分类号：

O4 [物理学];

学科分类号：

0702 ;

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.

引用

页码：289 / 329

页数：41

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