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Quantitative Analysis of Boundary Layers in Periodic Homogenization

Armstrong, Scott N.; Kuusi, Tuomo; Mourrat, Jean-Christophe; Prange, Christophe (2017), Quantitative Analysis of Boundary Layers in Periodic Homogenization, Archive for Rational Mechanics and Analysis, 226, 2, p. 695–741. 10.1007/s00205-017-1142-z

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Type
Article accepté pour publication ou publié
Date
2017
Journal name
Archive for Rational Mechanics and Analysis
Volume
226
Number
2
Publisher
Springer
Pages
695–741
Publication identifier
Metadata
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Author(s)
Armstrong, Scott N.

Kuusi, Tuomo

Mourrat, Jean-Christophe

Prange, Christophe
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.
Subjects / Keywords
periodic homogenization