On the convergence rate of some nonlocal energies

被引：1
|
作者：
Chambolle, Antonin [1 ]
Novaga, Matteo [2 ]
Pagliari, Valerio [3 ]
机构：
[1] Ecole Polytech, CMAP, F-91128 Palaiseau, France
[2] Univ Pisa, Dipartimento Matemat, Largo B Pontecorvo 5, I-56127 Pisa, Italy
[3] TU Wien, Inst Anal & Sci Comp, Wiedner Hauptstr 8-10, A-1040 Vienna, Austria
来源：
NONLINEAR ANALYSIS-THEORY METHODS & APPLICATIONS | 2020年 / 200卷 / 200期
基金：
奥地利科学基金会;
关键词：
Nonlocal functionals; Sobolev spaces; Gamma-convergence; FINITE-DIFFERENCE APPROXIMATION; SOBOLEV SPACES; BOURGAIN;
D O I：
10.1016/j.na.2020.112016
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
We study the rate of convergence of some nonlocal functionals recently considered by Bourgain, Brezis, and Mironescu, and, after a suitable rescaling, we establish the Gamma-convergence of the corresponding rate functionals to a limit functional of second order. (C) 2020 Elsevier Ltd. All rights reserved.
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页数：23
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