Calculus of Variations and Nonlinear Partial Differential Equations

With a historical overview by Elvira Mascolo

  • Luigi Ambrosio
  • Luis Caffarelli
  • Michael G. Crandall
  • Lawrence C. Evans
  • Nicola Fusco
  • Bernard Dacorogna
  • Paolo Marcellini

Part of the Lecture Notes in Mathematics book series (LNM, volume 1927)

Table of contents

  1. Front Matter
    Pages I-XI
  2. Luis Caffarelli, Luis Silvestre
    Pages 43-74
  3. Michael G. Crandall
    Pages 75-122
  4. Lawrence C. Evans
    Pages 123-154
  5. Nicola Fusco
    Pages 155-181
  6. Back Matter
    Pages 193-204

About this book

Introduction

This volume provides the texts of lectures given by L. Ambrosio, L. Caffarelli, M. Crandall, L.C. Evans, N. Fusco at the Summer course held in Cetraro (Italy) in 2005. These are introductory reports on current research by world leaders in the fields of calculus of variations and partial differential equations. The topics discussed are transport equations for nonsmooth vector fields, homogenization, viscosity methods for the infinite Laplacian, weak KAM theory and geometrical aspects of symmetrization. A historical overview of all CIME courses on the calculus of variations and partial differential equations is contributed by Elvira Mascolo.

Keywords

Calculus of Variations homogenization infinite Laplacian partial differential equation symmetrization transport equation weak KAM theory

Authors and affiliations

  • Luigi Ambrosio
    • 1
  • Luis Caffarelli
    • 2
  • Michael G. Crandall
    • 3
  • Lawrence C. Evans
    • 4
  • Nicola Fusco
    • 5
  1. 1.Scuola Normale SuperioreItaly
  2. 2.Department of MathematicsUniversity of Texas at AustinAustinUSA
  3. 3.Department of MathematicsUniversity of CaliforniaSanta BarbaraUSA
  4. 4.Department of MathematicsUniversity of CaliforniaBerkeleyUSA
  5. 5.Dipartimento di MatematicaUniversità degli Studi di NapoliVia CintiaItaly

Editors and affiliations

  • Bernard Dacorogna
    • 1
  • Paolo Marcellini
    • 2
  1. 1.Section de MathématiquesEcole Polytechnique Fédérale de Lausanne (EPFL)Switzerland
  2. 2.Dipartimento di MatematicaUniversità di FirenzeItaly

Bibliographic information

  • DOI https://doi.org/10.1007/978-3-540-75914-0
  • Copyright Information Springer-Verlag Berlin Heidelberg 2008
  • Publisher Name Springer, Berlin, Heidelberg
  • eBook Packages Mathematics and Statistics
  • Print ISBN 978-3-540-75913-3
  • Online ISBN 978-3-540-75914-0
  • Series Print ISSN 0075-8434
  • About this book
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