Removable singularities for Lipschitz caloric functions in time varying domains (Q832458)
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scientific article; zbMATH DE number 7498324
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | Removable singularities for Lipschitz caloric functions in time varying domains |
scientific article; zbMATH DE number 7498324 |
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Removable singularities for Lipschitz caloric functions in time varying domains (English)
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25 March 2022
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Summary: 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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removable singularities
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heat equation
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singular integrals
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\(L^2\)-boundedness
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