Saved in:
| Main Authors: | , |
|---|---|
| Format: | Preprint |
| Published: |
2023
|
| Subjects: | |
| Online Access: | https://arxiv.org/abs/2303.10989 |
| Tags: |
Add Tag
No Tags, Be the first to tag this record!
|
| _version_ | 1866909076302069760 |
|---|---|
| author | Comi, Giovanni E. Stefani, Giorgio |
| author_facet | Comi, Giovanni E. Stefani, Giorgio |
| contents | 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. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2303_10989 |
| institution | arXiv |
| publishDate | 2023 |
| record_format | arxiv |
| spellingShingle | On sets with finite distributional fractional perimeter Comi, Giovanni E. Stefani, Giorgio Functional Analysis Primary 26B30. Secondary 28A75 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. |
| title | On sets with finite distributional fractional perimeter |
| topic | Functional Analysis Primary 26B30. Secondary 28A75 |
| url | https://arxiv.org/abs/2303.10989 |