Convergence rates and Hölder estimates in almost-periodic homogenization of elliptic systems

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21 Scopus citations

Abstract

For a family of second-order elliptic systems in divergence form with rapidly oscillating, almost-periodic coefficients, we obtain estimates for approximate correctors in terms of a function that quantifies the almost periodicity of the coefficients. The results are used to investigate the problem of convergence rates. We also establish uniform Hölder estimates for the Dirichlet problem in a bounded C1,α domain.

Original languageEnglish
Pages (from-to)1565-1601
Number of pages37
JournalAnalysis and PDE
Volume8
Issue number7
DOIs
StatePublished - 2015

Bibliographical note

Publisher Copyright:
© 2015 Mathematical Sciences Publishers.

Keywords

  • almost periodic coefficients
  • approximate correctors
  • convergence rates
  • homogenization

ASJC Scopus subject areas

  • Analysis
  • Numerical Analysis
  • Applied Mathematics

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