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
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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.