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Asymptotic Analysis for Periodic Structures

Authors: G. Papanicolau, A. Bensoussan, J.-L. Lions Publisher: Elsevier Science Publication date: 1978 Publication language: Angielski Number of pages: 725 Publication formats: EAN: 9780080875262 ISBN: 9780080875262 Category: Mathematics Kolekcja specjalna: Rok matematyki 2019 Publisher's index: S0168-2024(08)X7015-8 Bibliographic note: -

Description

Asymptotic Analysis for Periodic Structures

TOC

  • Front Cover 2
  • Asymptotic Analysis for Periodic Structures 5
  • Copyright Page 6
  • Introduction 7
  • TABLE OF CONTENTS 17
  • Chapter 1. Elliptic Operators 27
    • 1. Setting of the "model" problem 28
    • 2. Asymptotic expansions 37
    • 3. Energy proof of the homogenization formula 49
    • 4. LP estimates 61
    • 5. Correctors 75
    • 6. Second order elliptic operators with non-uniformly oscillating coefficients 97
    • 7. Complements on boundary conditions 113
    • 8. Reiterated homogenization 122
    • 9. Homogenization of elliptic systems 143
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