Markovianity and ergodicity for a surface growth PDE
Authors:
- Dirk BlömkerDBDirk Blömker
- Franco FlandoliFFFranco Flandoli
- Marco RomitoMRMarco Romito
Open Access
- 1 January 2009
- journal article
- research article
- Published by Institute of Mathematical Statistics in The Annals of Probability
- Vol. 37 (1) , 275-313
Abstract
The paper analyzes a model in surface growth where the uniqueness of weak solutions seems to be out of reach. We prove existence of a weak martingale solution satisfying energy inequalities and having the Markov property. Furthermore, under nondegeneracy conditions on the noise, we establish that any such solution is strong Feller and has a unique invariant measure.Keywords
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