Regularity of homogenized boundary data in periodic homogenization of elliptic systems

Zhongwei Shen, Jinping Zhuge

Research output: Contribution to journalArticlepeer-review

3 Scopus citations

Abstract

This paper is concerned with the periodic homogenization of second-order elliptic systems in divergence form with oscillating Dirichlet data or Neumann data of first order. We prove that the homogenized boundary data belongs to W1,p for any 1 < p < ∞. In particular, this implies that the boundary layer tails are Hölder continuous of order α for any α ∈ (0, 1).

Original languageEnglish
Pages (from-to)2751-2776
Number of pages26
JournalJournal of the European Mathematical Society
Volume32
Issue number3
DOIs
StatePublished - Jun 2020

Bibliographical note

Publisher Copyright:
© European Mathematical Society 2020.

Keywords

  • Boundary layers
  • Homogenization
  • Oscillating boundary data

ASJC Scopus subject areas

  • General Mathematics
  • Applied Mathematics

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