Asymptotic analysis of the Dirichlet fractional Laplacian in domains becoming unbounded

被引：11

作者：

Ambrosio, Vincenzo ^{[1
]}

Freddi, Lorenzo ^{[2
]}

Musina, Roberta ^{[2
]}

机构：

[1] Univ Politecn Marche, DIISM, Via Brecce Bianche 12, I-60131 Ancona, Italy

[2] Univ Udine, DMIF, Via Sci 206, I-33100 Udine, Italy

来源：

JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS | 2020年 / 485卷 / 02期

关键词：

Fractional Laplacian; Variational methods; Asymptotic analysis; Gamma-convergence; ELLIPTIC PROBLEMS; BEHAVIOR;

D O I：

10.1016/j.jmaa.2020.123845

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

In this paper we analyze the asymptotic behaviour of the Dirichlet fractional Laplacian (-Delta(Rn+k))(s), with s is an element of (0,1), on bounded domains in Rn+k that become unbounded in the last k-directions. A dimension reduction phenomenon is observed and described via Gamma-convergence. (C) 2020 Elsevier Inc. All rights reserved.

引用

页数：17

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