On fractional harmonic functions
Analysis of PDEs
2022-07-05 v3
Abstract
Our concern in this paper is to study the qualitative properties for harmonic functions related to the fractional Laplacian. Firstly we classify the polynomials in the whole space and in the half space for the fractional Laplacian defined in a principle value sense at infinity. Secondly, we study the fractional harmonic functions in half space with singularities on the boundary and the related distributional identities.
Cite
@article{arxiv.2203.10312,
title = {On fractional harmonic functions},
author = {Huyuan Chen and Ying Wang},
journal= {arXiv preprint arXiv:2203.10312},
year = {2022}
}
Comments
20 pages