Homogenization of quadratic convolution energies in periodically perforated domains
Fuente:
arXiv
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| Autori principali: | , |
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| Natura: | Preprint |
| Pubblicazione: |
2019
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| Soggetti: | |
| Accesso online: | |
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| _version_ | 1866916566350692352 |
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| author | Braides, Andrea Piatnitski, Andrey |
| author_facet | Braides, Andrea Piatnitski, Andrey |
| contents | 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. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_1909_08713 |
| institution | arXiv |
| publishDate | 2019 |
| record_format | arxiv |
| spellingShingle | Homogenization of quadratic convolution energies in periodically perforated domains Braides, Andrea Piatnitski, Andrey Analysis of PDEs 49J45, 49J55, 74Q05, 35B27, 35B40, 45E10 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. |
| title | Homogenization of quadratic convolution energies in periodically perforated domains |
| topic | Analysis of PDEs 49J45, 49J55, 74Q05, 35B27, 35B40, 45E10 |
| url | https://arxiv.org/abs/1909.08713 |