Second-order asymptotics of the fractional perimeter as s → 1
In this note we provide a second-order asymptotic expansion of the fractional perimeter P<sub><em>s</em></sub>(<em>E</em>), as $s\to 1^-$, in terms of the local perimeter and of a higher order nonlocal functional.
| Main Authors: | , |
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| Format: | Article |
| Language: | English |
| Published: |
AIMS Press
2020-05-01
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| Series: | Mathematics in Engineering |
| Subjects: | |
| Online Access: | https://www.aimspress.com/article/10.3934/mine.2020023/fulltext.html |
| Summary: | In this note we provide a second-order asymptotic expansion of the fractional perimeter P<sub><em>s</em></sub>(<em>E</em>), as $s\to 1^-$, in terms of the local perimeter and of a higher order nonlocal functional. |
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| ISSN: | 2640-3501 |