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arXiv · 2005.03397

Removable singularities for Lipschitz caloric functions in time varying domains

Joan Mateu·Laura Prat·Xavier Tolsa
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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 $L^2$ boundedness of the singular integral whose kernel is given by the gradient of the fundamental solution of the heat equation.

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Joan Mateu, Laura Prat, Xavier Tolsa. 2020-12-24. Removable singularities for Lipschitz caloric functions in time varying domains. https://arxiv.org/abs/2005.03397

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