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Global well-posedness of the dynamic Φ4 model in the plane

Mourrat, Jean-Christophe; Weber, Hendrik

Research article (journal) | Peer reviewed

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.

Details about the publication

Journal: Annals of Probability (Ann. Probab.)
Volume: 45
Issue: 4
Page range: 2398-2476
Status: Published
Release year: 2017
DOI: 10.1214/16-AOP1116
Keywords: Nonlinear stochastic PDE; stochastic quantisation equation; quantum field theory; weighted Besov space

Authors from the University of Münster

Weber, Hendrik
Professorship of Mathematics (Prof. Weber)