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Asymptotic behavior of fractional Laplacians in the half space
Zhang Y.H.2; Deng G.T.3; Kou K.I.1
2015-03-01
Source PublicationApplied Mathematics and Computation
ISSN00963003
Volume254Pages:125-132
Abstract

In this article, we first give the asymptotic behaviors of fractional Laplacians in the half space of Rℝ . Next, we discuss the weighted boundary limits of modified fractional Laplacians. The asymptotic behaviors hold outside an explicitly defined exceptional set, whose size can be controlled and set to be as small as required. The estimation of the asymptotic behavior is the generalization of the argument reported in Qiao and Deng (2010).

KeywordAsymptotic Behavior Exceptional Set Fractional Laplace Operator Poisson Integral
DOI10.1016/j.amc.2014.12.051
URLView the original
Indexed BySCI
Language英语
WOS Research AreaMathematics
WOS SubjectMathematics, Applied
WOS IDWOS:000349852200014
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Cited Times [WOS]:2   [WOS Record]     [Related Records in WOS]
Document TypeJournal article
CollectionDEPARTMENT OF MATHEMATICS
Affiliation1.Universidade de Macau
2.Beijing Technology & Business University
3.Beijing Normal University
4.University College Cork
Recommended Citation
GB/T 7714
Zhang Y.H.,Deng G.T.,Kou K.I.. Asymptotic behavior of fractional Laplacians in the half space[J]. Applied Mathematics and Computation,2015,254:125-132.
APA Zhang Y.H.,Deng G.T.,&Kou K.I..(2015).Asymptotic behavior of fractional Laplacians in the half space.Applied Mathematics and Computation,254,125-132.
MLA Zhang Y.H.,et al."Asymptotic behavior of fractional Laplacians in the half space".Applied Mathematics and Computation 254(2015):125-132.
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