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Removable singularities for Lipschitz caloric functions in time varying domains.
- 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]
- Subjects :
- GEOMETRIC connections
HEAT equation
SINGULAR integrals
Subjects
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