Global well-posedness of the dynamic φ4 model in the plane

Jean Christophe Mourrat; Hendrik Weber

doi:10.1214/16-AOP1116

Global well-posedness of the dynamic φ⁴ model in the plane

Jean Christophe Mourrat, Hendrik Weber

Department of Mathematical Sciences

Research output: Contribution to journal › Article › peer-review

119 Citations (SciVal)

Abstract

We show global well-posedness of the dynamic φ⁴ 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.

Original language	English
Pages (from-to)	2398-2476
Number of pages	79
Journal	Annals of Probability
Volume	45
Issue number	4
DOIs	https://doi.org/10.1214/16-AOP1116
Publication status	Published - 31 Jul 2017

Keywords

Nonlinear stochastic PDE
Quantum field theory
Stochastic quantisation equation
Weighted Besov space

ASJC Scopus subject areas

Statistics and Probability
Statistics, Probability and Uncertainty

Access to Document

10.1214/16-AOP1116

Cite this

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