Optimal Transportation and Applications

Lectures given at the C.I.M.E. Summer School, held in Martina Franca, Italy, September 2-8, 2001

  • Authors
  • Luigi Ambrosio
  • Luis A. Caffarelli
  • Yann Brenier
  • Giuseppe Buttazzo
  • Cedric Villani
  • Sandro Salsa

Part of the Lecture Notes in Mathematics book series (LNM, volume 1813)

Table of contents

  1. Front Matter
    Pages I-VIII
  2. Giuseppe Buttazzo, Luigi De Pascale
    Pages 11-51
  3. Yann Brenier
    Pages 91-121
  4. Back Matter
    Pages 161-170

About this book

Introduction

Leading researchers in the field of Optimal Transportation, with different views and perspectives, contribute to this Summer School volume: Monge-Ampère and Monge-Kantorovich theory, shape optimization and mass transportation are linked, among others, to applications in fluid mechanics granular material physics and statistical mechanics, emphasizing the attractiveness of the subject from both a theoretical and applied point of view.

The volume is designed to become a guide to researchers willing to enter into this challenging and useful theory.

Keywords

Monge-Ampére Optimal Transportation dissipative P.D.E.'s optimization shape optimization

Bibliographic information

  • DOI https://doi.org/10.1007/b12016
  • Copyright Information Springer-Verlag Berlin Heidelberg 2003
  • Publisher Name Springer, Berlin, Heidelberg
  • eBook Packages Springer Book Archive
  • Print ISBN 978-3-540-40192-6
  • Online ISBN 978-3-540-44857-0
  • Series Print ISSN 0075-8434
  • Series Online ISSN 1617-9692
  • About this book