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.
Comi, G.E., Stefani, G. (2024). On Sets with Finite Distributional Fractional Perimeter [10.1007/978-981-97-6984-1_6].
On Sets with Finite Distributional Fractional Perimeter
Comi, Giovanni E.;Stefani, Giorgio
2024
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.File in questo prodotto:
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