1 citations · 2 across the 6 of their papers we have counts for
8 papers
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…
Hardy perturbations of subordinated Bessel heat kernels
Krzysztof Bogdan, Tomasz Jakubowski, Konstantin Merz
Motivated by the spectral theory of relativistic atoms, we prove matching upper and lower bounds for the transition density of Hardy perturbations of subordinated Bessel heat kerne…
Positive harmonically bounded solutions for semi-linear equations
Wolfhard Hansen, Krzysztof Bogdan
For open sets in some space , we are interested in positive solutions to semi-linear equations on . Here may be an elliptic or parabolic operator of…
Yaglom limit for stable processes in cones
Krzysztof Bogdan, Zbigniew Palmowski, Longmin Wang
We give the asymptotics of the tail of the distribution of the first exit time of the isotropic -stable Lévy process from the Lipschitz cone in . We obtain the Yag…
Hardy inequalities and non-explosion results for semigroups
Krzysztof Bogdan, Bartłomiej Dyda, Panki Kim
We prove non-explosion results for Schrödinger perturbations of symmetric transition densities and Hardy inequalities for their quadratic forms by using explicit supermedian functi…
Martin kernel for fractional Laplacian in narrow cones
Krzysztof Bogdan, Bartłomiej Siudeja, Andrzej Stós
We give a power law for the homogeneity degree of the Martin kernel of the fractional Laplacian for the right circular cone when the angle of the cone tends to zero.