4 citations · 4 across the 3 of their papers we have counts for
3 papers
math.PR2024
Stable processes with reflection
Krzysztof Bogdan, Markus Kunze
We construct a Hunt process that can be described as an isotropic -stable Lévy process reflected from the complement of a bounded open Lipschitz set. In fact, we introduce a new…
math.AP2024
Caloric functions and boundary regularity for the fractional Laplacian in Lipschitz open sets
Gavin Armstrong, Krzysztof Bogdan, Artur Rutkowski
We give Martin representation of nonnegative functions caloric with respect to the fractional Laplacian in Lipschitz open sets. The caloric functions are defined in terms of the me…
math.PR2014★ 4 cited
Dirichlet heat kernel for unimodal Lévy processes
K. Bogdan, T. Grzywny, M. Ryznar
We estimate the heat kernel of the smooth open set for the isotropic unimodal pure-jump Lévy process with infinite Lévy measure and weakly scaling Lévy-Kchintchine exponent.