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Variational Methods for Discontinuous Structures

Applications to image segmentation, continuum mechanics, homogenization Villa Olmo, Como, 8–10 September 1994

  • Raul Serapioni
  • Franco Tomarelli
Conference proceedings

Part of the Progress in Nonlinear Differential Equations and Their Applications book series (PNLDE, volume 25)

Table of contents

  1. Front Matter
    Pages I-VIII
  2. Ennio De Giorgi
    Pages 1-5
  3. Pedro Martins Girão, Robert V. Kohn
    Pages 7-18
  4. Vicent Caselles, Bartomeu Coll, Jean-Michel Morel
    Pages 35-55
  5. Michele Carriero, Antonio Leaci, Franco Tomarelli
    Pages 57-72
  6. Italo Capuzzo Dolcetta
    Pages 87-92
  7. Paolo Marcellini
    Pages 111-118
  8. Mario Miranda
    Pages 119-122
  9. Luigi Ambrosio, Halil Mete Soner
    Pages 123-134
  10. Bernard Dacorogna, Jean-Pierre Haeberly
    Pages 143-154
  11. Umberto Mosco, Lino Notarantonio
    Pages 155-160
  12. David Kinderlehrer
    Pages 177-189
  13. Back Matter
    Pages 191-196

About these proceedings

Introduction

In recent years many researchers in material science have focused their attention on the study of composite materials, equilibrium of crystals and crack distribution in continua subject to loads. At the same time several new issues in computer vision and image processing have been studied in depth. The understanding of many of these problems has made significant progress thanks to new methods developed in calculus of variations, geometric measure theory and partial differential equations. In particular, new technical tools have been introduced and successfully applied. For example, in order to describe the geometrical complexity of unknown patterns, a new class of problems in calculus of variations has been introduced together with a suitable functional setting: the free-discontinuity problems and the special BV and BH functions. The conference held at Villa Olmo on Lake Como in September 1994 spawned successful discussion of these topics among mathematicians, experts in computer science and material scientists.

Keywords

Calculus of Variations Finite Manifold calculus equation function partial differential equation

Editors and affiliations

  • Raul Serapioni
    • 1
  • Franco Tomarelli
    • 1
  1. 1.Dipartimento di MatematicaPolitecnico di MilanoMilanoItaly

Bibliographic information

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