44 citations · 525 across the 42 of their papers we have counts for
11 papers · 1 filter
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…
Stability of transition semigroups and applications to parabolic equations
Moritz Gerlach, Jochen Glück, Markus Kunze
The paper deals with the long-term behavior of positive operator semigroups on spaces of bounded functions and of signed measures, which have applications to parabolic equations wi…
Irregular convergence of mild solutions of semilinear equations
Adam Bobrowski, Markus Kunze
We prove that even irregular convergence of semigroups of operators implies similar convergence of mild solutions of the related semi-linear equations with Lipschitz continuous non…
Diffusion with nonlocal Robin boundary conditions
Wolfgang Arendt, Stefan Kunkel, Markus Kunze
We investigate a second order elliptic differential operator on a bounded, open set with Lipschitz boundary subject to a nonlocal boundary condi…
An averaging principle for fast diffusions in domains separated by semi-permeable membranes
Adam Bobrowski, Bogdan Kazmierczak, Markus Kunze
We prove an averaging principle which asserts convergence of diffusion processes on domains separated by semi-permeable membranes, when diffusion coefficients tend to infinity whil…
Asymptotic behavior of strong Feller semigroups
Markus C. Kunze
We prove that a weakly ergodic, strong Feller semigroup on the space of measures converges strongly to a projection onto its fixed space. In contrast to a recent result of Gerlach…