Removable singularities for Lipschitz caloric functions in time varying domains
Classical Analysis and ODEs
2020-12-25 v3
Abstract
In this paper we study removable singularities for regular -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 boundedness of the singular integral whose kernel is given by the gradient of the fundamental solution of the heat equation.
Cite
@article{arxiv.2005.03397,
title = {Removable singularities for Lipschitz caloric functions in time varying domains},
author = {Joan Mateu and Laura Prat and Xavier Tolsa},
journal= {arXiv preprint arXiv:2005.03397},
year = {2020}
}
Comments
37 pages