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Variational Methods for Discontinuous Structures

International Workshop at Villa Erba (Cernobbio), Italy, July 2001

  • Gianni dal Maso
  • Franco Tomarelli
Conference proceedings

Part of the Progress in Nonlinear Differential Equations and Their Applications book series (PNLDE, volume 51)

Table of contents

  1. Front Matter
    Pages i-x
  2. Giusppe Buttazzo, Edouard Oudet, Eugene Stepanov
    Pages 41-65
  3. Michele Carriero, Antonio Leaci, Franco Tomarelli
    Pages 67-80
  4. Vicent Caselles, Jean-Michel Morel
    Pages 81-90
  5. Andrea Cianchi, Nicola Fusco
    Pages 91-102
  6. Maurizio Paolini, Franco Pasquarelli
    Pages 141-153
  7. Danilo Percivale
    Pages 155-170
  8. Jayant Shah
    Pages 171-182
  9. Back Matter
    Pages 183-188

About these proceedings

Introduction

This volume contains the Proceedings of the International Workshop Variational Methods For Discontinuous Structures, which was jointly organized by the Dipar­ timento di Matematica Francesco Brioschi of Milano Politecnico and the Interna­ tional School for Advanced Studies (SISSA) of Trieste. The Conference took place at Villa Erba Antica (Cernobbio) on the Lago di Como on July 4- 6, 2001. In past years the calculus of variations faced mainly the study of continuous structures, say particularly problems with smooth solutions. One of the deepest and more delicate problems was the regularity of weak solutions. More recently, new sophisticated tools have been introduced in order to study discontinuities: in many variational problems solutions develop singularities, and sometimes the most interesting part of a solution is the singularity itself. The conference intended to focus on recent developments in this direction. Some of the talks were devoted to differential or variational modelling of image segmentation, occlusion and textures synthesizing in image analysis, varia­ tional description of micro-magnetic materials, dimension reduction and structured deformations in elasticity and plasticity, phase transitions, irrigation and drainage, evolution of crystalline shapes; in most cases theoretical and numerical analysis of these models were provided. viii Preface Other talks were dedicated to specific problems of the calculus of variations: variational theory of weak or lower-dimensional structures, optimal transport prob­ lems with free Dirichlet regions, higher order variational problems, symmetrization in the BV framework.

Keywords

Calculus of Variations Partial differential equations functional analysis numerical analysis partial differential equation

Editors and affiliations

  • Gianni dal Maso
    • 1
  • Franco Tomarelli
    • 2
  1. 1.Scuola Internazionale Superiore di StudiAvanzati (SISSA)TriesteItaly
  2. 2.Dipartimento di Matematica “Francesco Brioschi”Politecnico di MilanoMilanoItaly

Bibliographic information