English

Second-order asymptotics of the fractional perimeter as $s\to 1$

Analysis of PDEs 2020-02-03 v2

Abstract

In this note we provide a second-order asymptotic expansion of the fractional perimeter Pers(E)_s(E), as s1s\to 1^-, in terms of the local perimeter and of a higher order nonlocal functional.

Keywords

Cite

@article{arxiv.2001.11415,
  title  = {Second-order asymptotics of the fractional perimeter as $s\to 1$},
  author = {Annalisa Cesaroni and Matteo Novaga},
  journal= {arXiv preprint arXiv:2001.11415},
  year   = {2020}
}

Comments

14 pp