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Convergence Rates inL2for Elliptic Homogenization Problems

✍ Scribed by Carlos E. Kenig; Fanghua Lin; Zhongwei Shen

Publisher
Springer
Year
2011
Tongue
English
Weight
347 KB
Volume
203
Category
Article
ISSN
0003-9527

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πŸ“œ SIMILAR VOLUMES

Layer potential methods for elliptic hom
Layer potential methods for elliptic homogenization problems
✍ Carlos Kenig; Zhongwei Shen πŸ“‚ Article πŸ“… 2010 πŸ› John Wiley and Sons 🌐 English βš– 355 KB

## Abstract In this paper we use the method of layer potentials to study __L__^2^ boundary value problems in a bounded Lipschitz domain Ξ© for a family of second‐order elliptic systems with rapidly oscillating periodic coefficients. Defining ${\cal L}\_\varepsilon = - {\rm div}(A(\varepsilon ^{ - 1}