Large deviations for a class of stochastic partial differential equations

• 成果类型: Article
• 署名作者: Kallianpur, G; Xiong, J
• 署名单位: University of Tennessee System; University of Tennessee Knoxville
• 刊物名称: ANNALS OF PROBABILITY
• ISSN/ISSBN: 0091-1798
• 发表日期: 1996
• 页码: 320-345
• 关键词: perturbations

摘要

We consider the random fields X(epsilon)(t, q), t greater than or equal to 0, q is an element of O, governed by stochastic partial differential equations driven by a Gaussian white noise in space-time, where O is a bounded domain in R(d) with regular boundary. To study the continuity of the random fields X(epsilon) in space and time variables, we prove an analogue of Garsia's theorem. We then derive the large deviation results based on the methods used by the second author in another paper. This article provides an alternative proof of Sowers' result for the case of d = 1.