MARKOVIANITY AND ERGODICITY FOR A SURFACE GROWTH PDE

• 成果类型: Article
• 署名作者: Bloemker, Dirk; Flandoli, Franco; Romito, Marco
• 署名单位: University of Augsburg; University of Pisa; University of Florence
• 刊物名称: ANNALS OF PROBABILITY
• ISSN/ISSBN: 0091-1798
• DOI: 10.1214/08-AOP403
• 发表日期: 2009
• 页码: 275-313
• 关键词: thin-film-growth; selections; EQUATIONS; models

摘要

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 martin-gale 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.