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.
Braides, A., Piatnitski, A. (2020). Homogenization of quadratic convolution energies in periodically perforated domains. ADVANCES IN CALCULUS OF VARIATIONS, 351-368 [10.1515/acv-2019-0083].
Homogenization of quadratic convolution energies in periodically perforated domains
Andrea Braides
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2020-01-01
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.File in questo prodotto:
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