86 citations · 347 across the 33 of their papers we have counts for
4 papers · 1 filter
Transition densities of subordinators of positive order
Tomasz Grzywny, Łukasz Leżaj, Bartosz Trojan
We prove existence and asymptotic behavior of the transition density for a large class of subordinators whose Laplace exponents satisfy lower scaling condition at infinity. Further…
Remarks on the nonlocal Dirichlet problem
Tomasz Grzywny, Moritz Kassmann, Łukasz Leżaj
We study translation-invariant integrodifferential operators that generate Lévy processes. First, we investigate different notions of what a solution to a nonlocal Dirichlet proble…
Heat kernels of non-symmetric Lévy-type operators
Tomasz Grzywny, Karol Szczypkowski
We construct the fundamental solution (the heat kernel) to the equation , where under certain assumptions the operator takes one of…
Green function for gradient perturbation of unimodal Lévy processes in the real line
T. Grzywny, T. Jakubowski, G. Żurek
We prove that the Green function of a generator of symmetric unimodal Lévy processes with the weak lower scaling order bigger than one and the Green function of its gradient pertur…