Quantitative Analysis of Boundary Layers in Periodic Homogenization
Langue
en
Article de revue
Ce document a été publié dans
Archive for Rational Mechanics and Analysis. 2017-11, vol. 226, n° 2, p. 695 - 741
Springer Verlag
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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