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arXiv · 2303.17174

Dependence of the layer heat potentials upon support perturbations

Matteo Dalla Riva·Paolo Luzzini
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Abstract

We prove that the integral operators associated with the layer heat potentials depend smoothly upon a parametrization of the support of integration. The analysis is carried out in the optimal H\"older setting.

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Matteo Dalla Riva, Paolo Luzzini. 2023-03-30. Dependence of the layer heat potentials upon support perturbations. https://arxiv.org/abs/2303.17174

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