Markovianity and ergodicity for a surface growth PDE
概率论
2007-05-23 v1 数学物理
math.MP
摘要
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.
引用
@article{arxiv.math/0611021,
title = {Markovianity and ergodicity for a surface growth PDE},
author = {D. Blömker and F. Flandoli and M. Romito},
journal= {arXiv preprint arXiv:math/0611021},
year = {2007}
}
备注
33 pages, 1 figure