Markovianity and ergodicity for a surface growth PDE

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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.
33 pages, 1 figure

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Probability, Mathematical Physics, 60H15; 35Q99, 35R60, 60H30

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http://salesiana.dossiersoluciones.com/handle/123456789/120744

Consulte el texto completo en el siguiente enlace:

https://arxiv.org/abs/math/0611021
 http://arxiv.org/abs/math/0611021

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arXiv