Extension theorems for homogenization on lattice structures. (English) Zbl 0794.35013
Summary: When applying homogenization techniques to problems on lattice structures, it is necessary to extend certain functions defined on a perforated domain to a simply connected domain. This paper provides general extension operators which preserve the bounds on the derivatives of order \(\ell\).
MSC:
| 35B27 | Homogenization in context of PDEs; PDEs in media with periodic structure |
Keywords:
extension operators which preserve the bounds on the derivatives of order \(\ell\); homogenization techniques; lattice structuresReferences:
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