Homogenization of elliptic boundary value problems in Lipschitz domains
β Scribed by Carlos E. Kenig; Zhongwei Shen
- Publisher
- Springer
- Year
- 2010
- Tongue
- English
- Weight
- 522 KB
- Volume
- 350
- Category
- Article
- ISSN
- 0025-5831
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## Abstract The paper is devoted to the study of solutions to linear elliptic boundary value problems in domains depending smoothly on a small perturbation parameter. To this end we transform the boundary value problem onto a fixed reference domain and obtain a problem in a fixed domain but with di
In this paper we develop a Cli!ord operator calculus over unbounded domains whose complement contains a non-empty open set by using add-on terms to the Cauchy kernel. Using the knowledge about the Poisson equation allows us to prove a direct decomposition of the space L O ( ), which will be applied