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.
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页数：15
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