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Unfolding operators in perforated domains

  • Doina CioranescuEmail author
  • Alain Damlamian
  • Georges Griso
Chapter
Part of the Series in Contemporary Mathematics book series (SCMA, volume 3)

Abstract

In the case of periodic problems with holes (of the same size as the period), the first difficulty arises from the fact the functions (e.g. the solutions of elliptic problems) are defined on doεmains Ω\( _{\varepsilon }^{*} \) varying with ε (see (4.2)).

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Copyright information

© Springer Nature Singapore Pte Ltd. 2018

Authors and Affiliations

  • Doina Cioranescu
    • 1
    Email author
  • Alain Damlamian
    • 2
  • Georges Griso
    • 1
  1. 1.Laboratoire J.L. LIonsUniversity Pierre et Marie CurieParisFrance
  2. 2.Laboratoire d’Analyse et Mathématiques AppliquéesUniversité Paris-Est Créteil Val de MarneCreteil, CedexFrance

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