PARACONTROLLED DISTRIBUTIONS AND THE 3-DIMENSIONAL STOCHASTIC QUANTIZATION EQUATION

• 成果类型: Article
• 署名作者: Catellier, Remi; Chouk, Khalil
• 署名单位: Universite PSL; Universite Paris-Dauphine; Universite Cote d'Azur; Centre National de la Recherche Scientifique (CNRS); CNRS - National Institute for Mathematical Sciences (INSMI); Technical University of Berlin; Centre National de la Recherche Scientifique (CNRS); Universite Cote d'Azur; Technical University of Berlin
• 刊物名称: ANNALS OF PROBABILITY
• ISSN/ISSBN: 0091-1798
• DOI: 10.1214/17-AOP1235
• 发表日期: 2018
• 页码: 2621-2679
• 关键词: model

摘要

We prove the existence and uniqueness of a local in time solution to the periodic Phi(4)(3) model of stochastic quantisation using the method of paracontrolled distributions introduced recently by M. Gubinelli, P. Imkeller and N. Perkowski in [Forum Math., Pi 3 (2015) e6].