COUPLING AND INVARIANT-MEASURES FOR THE HEAT-EQUATION WITH NOISE

• 成果类型: Article
• 署名作者: MUELLER, C
• 刊物名称: ANNALS OF PROBABILITY
• ISSN/ISSBN: 0091-1798
• DOI: 10.1214/aop/1176989016
• 发表日期: 1993
• 页码: 2189-2199
• 关键词: partial-differential equations; reaction-diffusion equation; non-gaussian perturbations; large deviations

摘要

We consider the heat equation with a noise term, on a finite interval with periodic boundary conditions. We show how to construct coupled solutions to the equation. As applications, we prove the uniqueness of invariant measures and the triviality of bounded harmonic functions.