On the convergence rate of some nonlocal energies
Analysis of PDEs
2020-04-01 v2 Numerical Analysis
Functional Analysis
Numerical Analysis
Abstract
We study the rate of convergence of some nonlocal functionals recently considered by Bourgain, Brezis and Mironescu. In particular we establish the -convergence of the corresponding rate functionals, suitably rescaled, to a limit functional of second order.
Keywords
Cite
@article{arxiv.1907.06030,
title = {On the convergence rate of some nonlocal energies},
author = {Antonin Chambolle and Matteo Novaga and Valerio Pagliari},
journal= {arXiv preprint arXiv:1907.06030},
year = {2020}
}
Comments
26 pages