Dependence of the layer heat potentials upon support perturbations
Analysis of PDEs
2023-03-31 v1
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.
Cite
@article{arxiv.2303.17174,
title = {Dependence of the layer heat potentials upon support perturbations},
author = {Matteo Dalla Riva and Paolo Luzzini},
journal= {arXiv preprint arXiv:2303.17174},
year = {2023}
}