Global well-posedness of the dynamic  Φ4Φ4  model in the plane

Jean-Christophe Mourrat ^[1] ; Hendrik Weber ^[2]
1. [1] École Normale Supérieure de Lyon
  
  École Normale Supérieure de Lyon
  
  Arrondissement de Lyon, Francia
2. [2] Warwick University (United Kingdom)
Localización: Annals of probability: An official journal of the Institute of Mathematical Statistics, ISSN 0091-1798, Vol. 45, Nº. 4, 2017, págs. 2398-2476
Idioma: inglés
DOI: 10.1214/16-AOP1116
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Resumen
- We show global well-posedness of the dynamic Φ4Φ4 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.