Asymptotic analysis of a family of non-local functionals on sets

被引：0
|
作者：
Eleuteri, Michela [1 ]
Lussardi, Luca [2 ]
Torricelli, Andrea [1 ]
机构：
[1] Univ Modena & Reggio Emilia, Dipartimento Sci Fis Informat & Matematiche, Via Campi 213, I-41125 Modena, Italy
[2] Politecn Torino, Dipartimento Sci Matematiche GL Lagrange, Cso Duca Abruzzi 24, I-10129 Turin, Italy
来源：
ESAIM-CONTROL OPTIMISATION AND CALCULUS OF VARIATIONS | 2023年 / 29卷 / 48期
关键词：
Finite perimeter sets; non-local perimeters; anisotropic perimeters;
D O I：
10.1051/cocv/2022080
中图分类号：
TP [自动化技术、计算机技术];
学科分类号：
0812 ;
摘要：
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.
引用
下载
收藏
页数：15
相关论文
共 50 条
  • [1] An extension theorem from connected sets and homogenization of non-local functionals
    Braides, Andrea
    Piat, Valeria Chiado
    D'Elia, Lorenza
    NONLINEAR ANALYSIS-THEORY METHODS & APPLICATIONS, 2021, 208
  • [2] Non-Local Functionals for Imaging
    Boulanger, Jerome
    Elbau, Peter
    Pontow, Carsten
    Scherzer, Otmar
    FIXED-POINT ALGORITHMS FOR INVERSE PROBLEMS IN SCIENCE AND ENGINEERING, 2011, 49 : 131 - +
  • [3] Non-local interactions in the homogenization closure of thermoelectric functionals
    Camar-Eddine, M
    Milton, GW
    ASYMPTOTIC ANALYSIS, 2005, 41 (3-4) : 259 - 276
  • [4] Compactness for a class of integral functionals with interacting local and non-local terms
    Braides, Andrea
    Maso, Gianni Dal
    CALCULUS OF VARIATIONS AND PARTIAL DIFFERENTIAL EQUATIONS, 2023, 62 (05)
  • [5] Compactness for a class of integral functionals with interacting local and non-local terms
    Andrea Braides
    Gianni Dal Maso
    Calculus of Variations and Partial Differential Equations, 2023, 62
  • [6] Asymptotic behaviour for a non-local parabolic problem
    Liu Qilin
    Liang Fei
    Li Yuxiang
    EUROPEAN JOURNAL OF APPLIED MATHEMATICS, 2009, 20 : 247 - 267
  • [7] Asymptotic stability for a non-local problem in electromagnetism
    Bosello, CA
    MATHEMATICAL METHODS IN THE APPLIED SCIENCES, 1999, 22 (14) : 1189 - 1200
  • [8] Non-convex, non-local functionals converging to the total variation
    Brezis, Haim
    Hoai-Minh Nguyen
    COMPTES RENDUS MATHEMATIQUE, 2017, 355 (01) : 24 - 27
  • [9] Γ-convergence of non-local, non-convex functionals in one dimension
    Brezis, Haim
    Hoai-Minh Nguyen
    COMMUNICATIONS IN CONTEMPORARY MATHEMATICS, 2020, 22 (07)
  • [10] Non-local, non-convex functionals converging to Sobolev norms
    Brezis, Haim
    Hoai-Minh Nguyen
    NONLINEAR ANALYSIS-THEORY METHODS & APPLICATIONS, 2020, 191 (191)
12345