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An Introduction to Γ-Convergence

  • Book
  • © 1993

Overview

Authors:
  1. Gianni Maso

    1. International School for Advanced Studies (SISSA), Trieste, Italy

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Part of the book series: Progress in Nonlinear Differential Equations and Their Applications (PNLDE, volume 8)

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Table of contents (26 chapters)

  1. Front Matter

    Pages i-xiv
    Download chapter PDF

  2. Introduction

    • Gianni Dal Maso
    Pages 1-7

  3. The Direct Method in the Calculus of Variations

    • Gianni Dal Maso
    Pages 8-18

  4. Minimum Problems for Integral Functionals

    • Gianni Dal Maso
    Pages 19-27

  5. Relaxation

    • Gianni Dal Maso
    Pages 28-37

  6. Γ-convergence and K-convergence

    • Gianni Dal Maso
    Pages 38-45

  7. Comparison with Pointwise Convergence

    • Gianni Dal Maso
    Pages 46-52

  8. Some Properties of Γ-limits

    • Gianni Dal Maso
    Pages 53-66

  9. Convergence of Minima and of Minimizers

    • Gianni Dal Maso
    Pages 67-85

  10. Sequential Characterization of Γ-limits

    • Gianni Dal Maso
    Pages 86-100

  11. Γ-convergence in Metric Spaces

    • Gianni Dal Maso
    Pages 101-110

  12. The Topology of Γ-convergence

    • Gianni Dal Maso
    Pages 111-125

  13. Γ-Convergence in Topological Vector Spaces

    • Gianni Dal Maso
    Pages 126-132

  14. Quadratic Forms and Linear Operators

    • Gianni Dal Maso
    Pages 133-147

  15. Convergence of Resolvents and G-convergence

    • Gianni Dal Maso
    Pages 148-164

  16. Increasing Set Functions

    • Gianni Dal Maso
    Pages 165-173

  17. Lower Semicontinuous Increasing Functionals

    • Gianni Dal Maso
    Pages 174-180

  18. \( \bar{\Gamma } \)-convergence of Increasing Functionals

    • Gianni Dal Maso
    Pages 181-188

  19. The Topology of \( \bar{\Gamma } \)-convergence

    • Gianni Dal Maso
    Pages 189-201

  20. The Fundamental Estimate

    • Gianni Dal Maso
    Pages 202-207
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Keywords

Authors and Affiliations

  • International School for Advanced Studies (SISSA), Trieste, Italy

    Gianni Maso

Bibliographic Information

  • Book Title: An Introduction to Γ-Convergence

  • Authors: Gianni Maso

  • Series Title: Progress in Nonlinear Differential Equations and Their Applications

  • DOI: https://doi.org/10.1007/978-1-4612-0327-8

  • Publisher: Birkhäuser Boston, MA

  • eBook Packages: Springer Book Archive

  • Copyright Information: Springer Science+Business Media New York 1993

  • Hardcover ISBN: 978-0-8176-3679-1Published: 01 January 1993

  • Softcover ISBN: 978-1-4612-6709-6Published: 30 October 2012

  • eBook ISBN: 978-1-4612-0327-8Published: 06 December 2012

  • Series ISSN: 1421-1750

  • Series E-ISSN: 2374-0280

  • Edition Number: 1

  • Number of Pages: XIV, 341

  • Topics: Difference and Functional Equations

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