Estimates of the Green function for the fractional Laplacian perturbed by gradient
Analysis of PDEs
2011-04-19 v2 Probability
Abstract
The Green function of the fractional Laplacian of the differential order bigger than one and the Green function of its gradient perturbations are comparable for bounded smooth multidimensional open sets if the drift function is in an appropriate Kato class.
Cite
@article{arxiv.1009.2472,
title = {Estimates of the Green function for the fractional Laplacian perturbed by gradient},
author = {Krzysztof Bogdan and Tomasz Jakubowski},
journal= {arXiv preprint arXiv:1009.2472},
year = {2011}
}
Comments
35 pages, details added to the proof of geometrical Lemma 1