Stability of transition semigroups and applications to parabolic equations
- 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.
| Author details: | Moritz GerlachORCiDGND, Jochen GlückORCiDGND, Markus KunzeORCiD |
|---|---|
| DOI: | https://doi.org/10.1090/tran/8620 |
| ISSN: | 0002-9947 |
| ISSN: | 1088-6850 |
| Title of parent work (English): | Transactions of the american mathematical society |
| Publisher: | American Mathematical Soc. |
| Place of publishing: | Providence |
| Publication type: | Article |
| Language: | English |
| Year of first publication: | 2023 |
| Publication year: | 2023 |
| Release date: | 2024/07/03 |
| Tag: | Transition probabilities; asymptotic; behavior; invariant measure; parabolic equations; strong Feller property |
| Volume: | 376 |
| Issue: | 1 |
| Number of pages: | 28 |
| First page: | 153 |
| Last Page: | 180 |
| Organizational units: | Mathematisch-Naturwissenschaftliche Fakultät / Institut für Mathematik |
| DDC classification: | 5 Naturwissenschaften und Mathematik / 51 Mathematik / 510 Mathematik |
| Peer review: | Referiert |
