Asymptotic mean value properties for fractional anisotropic operators

2018/01/03 by Bucur, Claudia, Squassina, Marco
#28D20 #46E35 #49A50 #82B10 #Analysis of PDEs (math.AP) #FOS: Mathematics

paper · doi:10.48550/arxiv.1801.00976

Abstract

We obtain an asymptotic representation formula for harmonic functions with respect to a linear anisotropic nonlocal operator. Furthermore we get a Bourgain-Brezis-Mironescu type limit formula for a related class of anisotropic nonlocal norms.

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