Quantitative Analysis of Boundary Layers in Periodic Homogenization

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...

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Veröffentlicht in:	Archive for rational mechanics and analysis 2017-11, Vol.226 (2), p.695-741
Hauptverfasser:	Armstrong, Scott, Kuusi, Tuomo, Mourrat, Jean-Christophe, Prange, Christophe
Format:	Artikel
Sprache:	eng
Schlagworte:	Analysis of PDEs Classical Mechanics Complex Systems Fluid- and Aerodynamics Mathematical and Computational Physics Mathematics Physics Physics and Astronomy Theoretical
Online-Zugang:	Volltext
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