TY  - JOUR
A1  - Gerlach, Moritz
A1  - Glück, Jochen
A1  - Kunze, Markus
T1  - Stability of transition semigroups and applications to parabolic equations
T2  - Transactions of the American Mathematical Society
N2  - This 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 with unbounded coefficients and to stochas-tic analysis. The main results are a Tauberian type theorem characterizing the convergence to equilibrium of strongly Feller semigroups and a generalization of a classical convergence theorem of Doob. None of these results requires any kind of time regularity of the semigroup.
KW  - Transition probabilities
KW  - strong Feller property
KW  - asymptotic
KW  - behavior
KW  - invariant measure
KW  - parabolic equations
Y1  - 2023
UR  - https://publishup.uni-potsdam.de/frontdoor/index/index/docId/64610
SN  - 0002-9947
SN  - 1088-6850
VL  - 376
IS  - 1
SP  - 153
EP  - 180
PB  - American Mathematical Soc.
CY  - Providence
ER  -