Green function for gradient perturbation of unimodal L\'{e}vy processes
Analysis of PDEs
2018-11-29 v1 Probability
Abstract
We prove that the Green function of a generator of isotropic unimodal L\'{e}vy processes with the weak lower scaling order bigger than one and the Green function of its gradient perturbations are comparable for bounded smooth open sets if the drift function is from an appropriate Kato class.
Cite
@article{arxiv.1505.07700,
title = {Green function for gradient perturbation of unimodal L\'{e}vy processes},
author = {Tomasz Grzywny and Tomasz Jakubowski and Grzegorz Żurek},
journal= {arXiv preprint arXiv:1505.07700},
year = {2018}
}
Comments
22 pages