Markovianity and ergodicity for a surface growth PDE
| dc.creator | Blömker, D. | |
| dc.creator | Flandoli, F. | |
| dc.creator | Romito, M. | |
| dc.date | 2006-11-01 | |
| dc.date.accessioned | 2026-07-07T07:37:20Z | |
| dc.date.available | 2026-07-07T07:37:20Z | |
| dc.description | The paper analyses a model in surface growth, where uniqueness of weak solutions seems to be out of reach. We provide the existence of a weak martingale solution satisfying energy inequalities and having the Markov property. Furthermore, under non-degeneracy conditions on the noise, we establish that any such solution is strong Feller and has a unique invariant measure. | |
| dc.description | 33 pages, 1 figure | |
| dc.identifier | https://arxiv.org/abs/math/0611021 | |
| dc.identifier | http://arxiv.org/abs/math/0611021 | |
| dc.identifier.uri | http://salesiana.dossiersoluciones.com/handle/123456789/120744 | |
| dc.subject | Probability | |
| dc.subject | Mathematical Physics | |
| dc.subject | 60H15; 35Q99, 35R60, 60H30 | |
| dc.title | Markovianity and ergodicity for a surface growth PDE | |
| dc.type | text |