On estimating the derivatives of symmetric diffusions in stationary random environment, with applications to delφ interface model

• 成果类型: Article
• 署名作者: Delmotte, T; Deuschel, JD
• 署名单位: Universite de Toulouse; Universite Toulouse III - Paul Sabatier; Technical University of Berlin
• 刊物名称: PROBABILITY THEORY AND RELATED FIELDS
• ISSN/ISSBN: 0178-8051
• DOI: 10.1007/s00440-005-0430-y
• 发表日期: 2005
• 页码: 358-390
• 关键词: harnack inequality; equilibrium; THEOREM

摘要

We consider diffusions on R-d or random walks on Z(d) in a random environment which is stationary in space and in time and with symmetric and uniformly elliptic coefficients. We show existence and Holder continuity of second space derivatives and time derivatives for the annealed kernels of such diffusions and give estimates for these derivatives. In the case of random walks, these estimates are applied to the Ginzburg-Landau del phi interface model.