Asymptotic analysis of a family of non-local functionals on sets
Analysis of PDEs
2021-10-12 v2
Abstract
We study the asymptotic behavior of a family of functionals which penalize a short-range interaction of convolution type between a finite perimeter set and its complement. We first compute the pointwise limit and we obtain a lower estimate on more regulars sets. Finally, some examples are discussed.
Keywords
Cite
@article{arxiv.2008.13110,
title = {Asymptotic analysis of a family of non-local functionals on sets},
author = {Michela Eleuteri and Luca Lussardi and Andrea Torricelli},
journal= {arXiv preprint arXiv:2008.13110},
year = {2021}
}