QUANTITATIVE ANALYSIS OF BOUNDARY LAYERS IN PERIODIC HOMOGENIZATION
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en
Document de travail - Pré-publication
Résumé en anglais
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 ...Lire la suite >
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.< Réduire
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