학술논문

On sets with finite distributional fractional perimeter
Document Type
Working Paper
Source
Subject
Mathematics - Functional Analysis
Primary 26B30. Secondary 28A75
Language
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.
Comment: 18 pages