Removable singularities for Lipschitz caloric functions in time varying domains

• Joan Mateu ^[1] ; Laura Prat ^[1] ; Xavier Tolsa ^[1]
  1. [1] Universitat Autònoma de Barcelona

     Universitat Autònoma de Barcelona

     Barcelona, España

     
• Localización: Revista matemática iberoamericana, ISSN 0213-2230, Vol. 38, Nº 2, 2022, págs. 547-588
• Idioma: inglés
• DOI: 10.4171/RMI/1284
• Texto completo no disponible (Saber más ...)
• Resumen

  • In this paper we study removable singularities for regular (1,1/2)-Lipschitz solutions of the heat equation in time varying domains. We introduce an associated Lipschitz caloric capacity and we study its metric and geometric properties and the connection with the L2 boundedness of the singular integral whose kernel is given by the gradient of the fundamental solution of the heat equation.