Quantitative estimates in reiterated homogenization

Weisheng Niu, Zhongwei Shen, Yao Xu

Research output: Contribution to journalArticlepeer-review

6 Scopus citations


This paper investigates quantitative estimates in the homogenization of second-order elliptic systems with periodic coefficients that oscillate on multiple separated scales. We establish large-scale interior and boundary Lipschitz estimates down to the finest microscopic scale via iteration and rescaling arguments. We also obtain a convergence rate in the L2 space by the reiterated homogenization method.

Original languageEnglish
Article number108759
JournalJournal of Functional Analysis
Issue number11
StatePublished - Dec 15 2020

Bibliographical note

Publisher Copyright:
© 2020 Elsevier Inc.


  • Convergence rates
  • Large-scale regularity estimates
  • Reiterated homogenization

ASJC Scopus subject areas

  • Analysis


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