Accepted Paper
Inserted: 19 mar 2023
Last Updated: 18 jan 2024
Journal: Conference proceedings of the workshop "Anisotropic Isoperimetric Problems & Related Topics" held in Rome, 5-9 Sept 2022.
Year: 2023
Abstract:
We continue the study of the fine properties of sets having locally finite distributional fractional perimeter. We refine the characterization of their blow-ups and prove a Leibniz rule for the intersection of sets with locally finite distributional fractional perimeter with sets with finite fractional perimeter. As a byproduct, we provide a description of non-local boundaries associated with the distributional fractional perimeter.
Keywords: Fractional Gradient, fractional perimeter, Leibniz rule, Blow-up Theorem, non-local boundary
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