44 citations · 525 across the 42 of their papers we have counts for
45 papers
The fractional Laplacian with reflections
Krzysztof Bogdan, Markus Kunze
Motivated by the notion of isotropic -stable Lévy processes confined, by reflections, to a bounded open Lipschitz set , we study some related analytical o…
Bounds for the gradient of the transition kernel for elliptic operators with unbounded diffusion, drift and potential term
Markus Kunze, Marianna Porfido, Abdelaziz Rhandi
We prove global Sobolev regularity and pointwise upper bounds for the gradient of transition densities associated with second order differential operators in with un…
General Kernel estimates of Schrödinger type operators with unbounded diffusion terms
Loredana Caso, Markus Kunze, Marianna Porfido +1
We prove first that the realization of in with unbounded coefficients generates a symmetric sub-Markovian and ultracontr…
A monotone convergence theorem for strong Feller semigroups
Christian Budde, Alexander Dobrick, Jochen Glück +1
For an increasing sequence of one-parameter semigroups of sub Markovian kernel operators over a Polish space, we study the limit semigroup and prove sufficient conditions f…
A Birman-Schwinger principle in galactic dynamics
Markus Kunze
These are the (somewhat extended) lecture notes for four lectures delivered at the spring school during the thematic programme "Mathematical Perspectives of Gravitation beyond the…
Static solutions to the spherically symmetric Einstein-Vlasov system: a particle-number-Casimir approach
Håkan Andréasson, Markus Kunze
Existence of spherically symmetric solutions to the Einstein-Vlasov system is well-known. However, it is an open problem whether or not static solutions arise as minimizers of a va…