Asymptotic mean value properties for fractional anisotropic operators
Analysis of PDEs
2018-02-26 v4
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.
Keywords
Cite
@article{arxiv.1801.00976,
title = {Asymptotic mean value properties for fractional anisotropic operators},
author = {Claudia Bucur and Marco Squassina},
journal= {arXiv preprint arXiv:1801.00976},
year = {2018}
}
Comments
16 pages, typo corrections and improvements