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Article Dans Une Revue Archive for Rational Mechanics and Analysis Année : 2017

Quantitative Analysis of Boundary Layers in Periodic Homogenization

Résumé

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.

Dates et versions

hal-01915562 , version 1 (07-11-2018)

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Scott Armstrong, Tuomo Kuusi, Jean-Christophe Mourrat, Christophe Prange. Quantitative Analysis of Boundary Layers in Periodic Homogenization. Archive for Rational Mechanics and Analysis, 2017, 226 (2), pp.695 - 741. ⟨10.1007/s00205-017-1142-z⟩. ⟨hal-01915562⟩
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