Asymptotic behavior of fractional Laplacians in the half space

Yan Hui Zhang, Guan Tie Deng and Kit Ian Kou

Applied Mathematics and Computation, 2015, vol. 254, issue C, 125-132

Abstract: In this article, we first give the asymptotic behaviors of fractional Laplacians in the half space of Rn. 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).

Keywords: Poisson integral; Fractional Laplace operator; Asymptotic behavior; Exceptional set (search for similar items in EconPapers)
Date: 2015
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Persistent link: https://EconPapers.repec.org/RePEc:eee:apmaco:v:254:y:2015:i:c:p:125-132

DOI: 10.1016/j.amc.2014.12.051

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