Weak universality for a class of 3d stochastic reaction-diffusion models
成果类型：
Article
署名作者：
Furlan, M.; Gubinelli, M.
署名单位：
Universite PSL; Universite Paris-Dauphine; University of Bonn; University of Bonn
刊物名称：
PROBABILITY THEORY AND RELATED FIELDS
ISSN/ISSBN：
0178-8051
DOI：
10.1007/s00440-018-0849-6
发表日期：
2019
页码：
1099-1164
关键词：
摘要：
We establish the large scale convergence of a class of stochastic weakly nonlinear reaction-diffusion models on a three dimensional periodic domain to the dynamic phi 34 model within the framework of paracontrolled distributions. Our work extends previous results of Hairer and Xu to nonlinearities with a finite amount of smoothness (in particular C9 is enough). We use the Malliavin calculus to perform a partial chaos expansion of the stochastic terms and control their Lp norms in terms of the graphs of the standard phi 34 stochastic terms.