✦ LIBER ✦
Homogenization of elliptic problems with the Dirichlet and Neumann conditions imposed on varying subsets
✍ Scribed by Carmen Calvo-Jurado; Juan Casado-Díaz; Manuel Luna-Laynez
- Publisher
- John Wiley and Sons
- Year
- 2007
- Tongue
- English
- Weight
- 159 KB
- Volume
- 30
- Category
- Article
- ISSN
- 0170-4214
- DOI
- 10.1002/mma.857
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✦ Synopsis
Abstract
We study the asymptotic behaviour of the solution u~n~ of a linear elliptic equation posed in a fixed domain Ω. The solution u~n~ is assumed to satisfy a Dirichlet boundary condition on Γ~n~, where Γ~n~ is an arbitrary sequence of subsets of ∂Ω, and a Neumman boundary condition on the remainder of ∂Ω. We obtain a representation of the limit problem which is stable by homogenization and where it appears a generalized Fourier boundary condition. We also prove a corrector result. Copyright © 2007 John Wiley & Sons, Ltd.