descriptionPublicationkeyboard_double_arrow_right Article , Preprint 08 Aug 2014Embargo end date: 01 Jan 2013 English Publisher:Informa UK LimitedJournal:Communications in Partial Differential Equations, volume 39, pages 1,780-1,790 (issn: 0360-5302, eissn: 1532-4133,

Authors: MUSINA, Roberta; Nazarov A. I.;

doi: 10.1080/03605302.2013.864304 , 10.48550/arxiv.1308.3606

arXiv: http://arxiv.org/abs/1308.3606

handle: 11390/876506 , 20.500.11767/32444

On Fractional Laplacians

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Abstract

We compare two natural types of fractional Laplacians $(-��)^s$, "Navier" and "Dirichlet" ones. We show that for $0

14 pages; this version is considerably enlarged

Related Organizations

St. Petersburg Department of Steklov Institute of Mathematics
Russian Federation
Department of Mathematical Sciences
Russian Federation
International School for Advanced Studies
Italy
University of Udine
Italy
St Petersburg University
Russian Federation

Keywords

Mathematics - Analysis of PDEs, FOS: Mathematics, Fractional Laplacian; Nonlocal differential operators; Sobolev constant, 47A63, 35A23, Analysis of PDEs (math.AP)

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