Author:
Eleuteri Michela,Lussardi Luca,Torricelli Andrea
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.
Subject
Computational Mathematics,Control and Optimization,Control and Systems Engineering