Markovianity and ergodicity for a surface growth PDE
نویسندگان
چکیده
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. 2000 Mathematics Subject Classification. Primary 60H15; Secondary 35Q99, 35R60, 60H30.
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تاریخ انتشار 2008