Homogenization of quadratic convolution energies in periodically perforated domains

DOI10.1515/acv-2019-0083zbMath1500.35020arXiv1909.08713OpenAlexW3044379124MaRDI QIDQ2156028

Andrea Braides, Andrey L. Piatnitski

Publication date: 15 July 2022

Published in: Advances in Calculus of Variations (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1909.08713

zbMATH Keywords

homogenizationGamma-convergenceextension theoremperforated domainsnonlocal energiesconvolution functionals

Mathematics Subject Classification ID

Homogenization in equilibrium problems of solid mechanics (74Q05) Integral equations of the convolution type (Abel, Picard, Toeplitz and Wiener-Hopf type) (45E10) Homogenization in context of PDEs; PDEs in media with periodic structure (35B27)

Related Items (5)

Homogenization of discrete thin structures ⋮ A compactness theorem for functions on Poisson point clouds ⋮ On the homogenization of nonlocal convolution type operators ⋮ On operator estimates in homogenization of nonlocal operators of convolution type ⋮ Homogenization of random convolution energies

Cites Work

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• An extension theorem from connected sets, and homogenization in general periodic domains
• Quasi-Convex Integrands and Lower Semicontinuity in $L^1 $

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