LARGE DEVIATIONS FOR FAST TRANSPORT STOCHASTIC RDES WITH APPLICATIONS TO THE EXIT PROBLEM

• 成果类型: Article
• 署名作者: Cerrai, Sandra; Paskal, Nicholas
• 署名单位: University System of Maryland; University of Maryland College Park
• 刊物名称: ANNALS OF APPLIED PROBABILITY
• ISSN/ISSBN: 1050-5164
• DOI: 10.1214/18-AAP1439
• 发表日期: 2019
• 页码: 1993-2032
• 关键词: equations; systems

摘要

We study reaction diffusion equations with a deterministic reaction term as well as two random reaction terms, one that acts on the interior of the domain, and another that acts only on the boundary of the domain. We are interested in the regime where the relative sizes of the diffusion and reaction terms are different. Specifically, we consider the case where the diffusion rate is much larger than the rate of reaction, and the deterministic rate of reaction is much larger than either of the random rate of reactions.