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Removable singularities for Lipschitz caloric functions in time varying domains.

Authors :
Mateu, Joan
Prat, Laura
Tolsa, Xavier
Source :
Revista Mathematica Iberoamericana; 2022, Vol. 38 Issue 2, p547-588, 42p
Publication Year :
2022

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 L<superscript>2 </superscript>boundedness of the singular integral whose kernel is given by the gradient of the fundamental solution of the heat equation. [ABSTRACT FROM AUTHOR]

Details

Language :
English
ISSN :
02132230
Volume :
38
Issue :
2
Database :
Complementary Index
Journal :
Revista Mathematica Iberoamericana
Publication Type :
Academic Journal
Accession number :
155983214
Full Text :
https://doi.org/10.4171/RMI/1284