Removable singularities for Lipschitz caloric functions in time varying domains

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Use this identifier to quote or link this document: http://hdl.handle.net/2072/535428

Title:	Removable singularities for Lipschitz caloric functions in time varying domains
Author:	Mateu, J.; Prat, L.; Tolsa, X.
Abstract:	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. © 2021 Real Sociedad Matemática Española.
Publication date:	2021-06-22
Subject(s):	heat equation; L2-boundedness; Removable singularities; singular integrals
Rights:	L'accés als continguts d'aquest document queda condicionat a l'acceptació de les condicions d'ús establertes per la següent llicència Creative Commons: https://creativecommons.org/licenses/by/4.0/
Pages:	42 p.
Document type:	Article Article - Published version
DOI:	10.4171/RMI/1284
Published by:	European Mathematical Society Publishing House
Publish at:	Revista Matematica Iberoamericana
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