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Quantitative Analysis of Boundary Layers in Periodic Homogenization

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Date
2017
Dewey
Analyse
Sujet
periodic homogenization
Journal issue
Archive for Rational Mechanics and Analysis
Volume
226
Number
2
Publication date
2017
Article pages
695–741
Publisher
Springer
DOI
http://dx.doi.org/10.1007/s00205-017-1142-z
URI
https://basepub.dauphine.fr/handle/123456789/17050
Collections
  • CEREMADE : Publications
Metadata
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Author
Armstrong, Scott N.
Kuusi, Tuomo
Mourrat, Jean-Christophe
Prange, Christophe
Type
Article accepté pour publication ou publié
Abstract (EN)
We prove quantitative estimates on the rate of convergence for the oscillating Dirichlet problem in periodic homogenization of divergence-form uniformly elliptic systems. The estimates are optimal in dimensions larger than three and new in every dimension. We also prove a regularity estimate on the homogenized boundary condition.

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