Calculus of Variations and Geometric Measure Theory
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V. Ambrosio - L. Freddi - R. Musina

Asymptotic analysis of the Dirichlet fractional Laplacian in domains becoming unbounded

created by freddi on 28 Oct 2019


Submitted Paper

Inserted: 28 oct 2019
Last Updated: 28 oct 2019

Year: 2019

ArXiv: 1910.11611 PDF


In this paper we analyze the asymptotic behavior of the Dirichlet fractional Laplacian on bounded domains that become unbounded in some directions. A dimension reduction phenomenon is observed and described via $\Gamma$-convergence.

Keywords: $\Gamma$-convergence, Variational methods, fractional Laplacian, Asymptotic Analysis

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