GLOBAL WELL-POSEDNESS OF THE DYNAMIC Φ4 MODEL IN THE PLANE

• 成果类型: Article
• 署名作者: Mourrat, Jean-Christophe; Weber, Hendrik
• 署名单位: Ecole Normale Superieure de Lyon (ENS de LYON); University of Warwick
• 刊物名称: ANNALS OF PROBABILITY
• ISSN/ISSBN: 0091-1798
• DOI: 10.1214/16-AOP1116
• 发表日期: 2017
• 页码: 2398-2476
• 关键词: stochastic quantization

摘要

We show global well-posedness of the dynamic Phi(4) model in the plane. The model is a nonlinear stochastic PDE that can only be interpreted in a renormalised sense. Solutions take values in suitable weighted Besov spaces of negative regularity.