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Homogenization of quadratic convolution energies in periodically perforated domains

Braides, Andrea
•
Piatnitski, Andrey
2022
  • journal article

Periodico
ADVANCES IN CALCULUS OF VARIATIONS
Abstract
We prove a homogenization theorem for quadratic convolution energies defined in perforated domains. The corresponding limit is a Dirichlet-type quadratic energy, whose integrand is defined by a non-local cell-problem formula. The proof relies on an extension theorem from perforated domains belonging to a wide class containing compact periodic perforations.
DOI
10.1515/acv-2019-0083
WOS
WOS:000825318900003
Archivio
https://hdl.handle.net/20.500.11767/138211
info:eu-repo/semantics/altIdentifier/scopus/2-s2.0-85089100813
https://arxiv.org/abs/1909.08713
Diritti
open access
Soggetti
  • Homogenization

  • convolution functiona...

  • perforated domains

  • extension theorem

  • non-local energies

  • Settore MAT/05 - Anal...

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