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
TypeArticle accepté pour publication ou publié
Journal nameArchive for Rational Mechanics and Analysis
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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 / Keywordsperiodic homogenization
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