Stability of transition semigroups and applications to parabolic equations

Autoren: Moritz Gerlach, Jochen Glück, Markus Kunze (2023)

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 with unbounded coefficients and to stochastic 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.

Transactions of the American Mathematical Society

zur Übersicht der Publikationen