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math.AP2023
Multi-parameter perturbations for the space-periodic heat equation
Matteo Dalla Riva, Paolo Luzzini, Riccardo Molinarolo +1
This paper is divided into three parts. The first part focuses on periodic layer heat potentials, demonstrating their smooth dependence on regular perturbations of the support of i…
math.AP2023
Dependence of the layer heat potentials upon support perturbations
Matteo Dalla Riva, Paolo Luzzini
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…