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Markovianity and ergodicity for a surface growth PDE

Research paper by D. Blömker, F. Flandoli, M. Romito

Indexed on: 01 Nov '06Published on: 01 Nov '06Published in: Mathematics - Probability



Abstract

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.