Second-order asymptotics of the fractional perimeter as s→ 1

2020/01/30 by Cesaroni, Annalisa, Novaga, Matteo · 1 citation
#35R11 #49J45 #49Q15 #Analysis of PDEs (math.AP) #FOS: Mathematics

paper · doi:10.48550/arxiv.2001.11415

Abstract

In this note we provide a second-order asymptotic expansion of the fractional perimeter Per_s(E), as s→ 1^-, in terms of the local perimeter and of a higher order nonlocal functional.

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