Estimates of gradient of $\mathcal{L}$-harmonic functions for nonlocal operators with order $\alpha>1$
Analysis of PDEs
2022-08-02 v1
Abstract
We obtain Gr\"onwall type estimates for the gradient of the harmonic functions for a L\'evy operator with order strictly larger than 1 and minimal assumptions of its L\'evy measure.
Cite
@article{arxiv.2208.00747,
title = {Estimates of gradient of $\mathcal{L}$-harmonic functions for nonlocal operators with order $\alpha>1$},
author = {Tomasz Grzywny and Tomasz Jakubowski and Grzegorz Żurek},
journal= {arXiv preprint arXiv:2208.00747},
year = {2022}
}