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Random Homogenization and Singular Perturbations¶in Perforated Domains

✍ Scribed by Viêt Hà Hoàng


Publisher
Springer
Year
2000
Tongue
English
Weight
159 KB
Volume
214
Category
Article
ISSN
0010-3616

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Asymptotic treatment of perforated domai
✍ V. Maz'ya; A. Movchan 📂 Article 📅 2010 🏛 John Wiley and Sons 🌐 English ⚖ 242 KB

## Abstract As a main result of the paper, we construct and justify an asymptotic approximation of Green's function in a domain with many small inclusions. Periodicity ofthe array ofinclusions is not required. We start with an analysis of the Dirichlet problem for the Laplacian in such a domain to