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.

引用

页数：23

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