arXiv:1505.07700 Abstract | arXiv Analytics

arXiv:1505.07700 [math.AP]Abstract References Reviews Resources

Green function for gradient perturbation of unimodal Lévy processes

Tomasz Grzywny, Tomasz Jakubowski, Grzegorz Żurek

Published 2015-05-28Version 1

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.

Comments: 22 pages

Categories: math.AP, math.PR

Subjects: 47A55, 60J35, 60J50, 60J75, 47G20

Keywords: green function, unimodal lévy processes, gradient perturbation, weak lower scaling order bigger, appropriate kato class

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