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Optimal Transportation and Applications

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

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

Part of the book sub series: C.I.M.E. Foundation Subseries (LNMCIME)

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Table of contents (5 chapters)

  1. Front Matter

    Pages I-VIII
  2. Optimal Shapes and Masses, and Optimal Transportation Problems

    • Giuseppe Buttazzo, Luigi De Pascale
    Pages 11-51
  3. Extended Monge-Kantorovich Theory

    • Yann Brenier
    Pages 91-121
  4. Back Matter

    Pages 161-170

About this book

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
  • partial differential equations

Bibliographic Information

  • Book Title: Optimal Transportation and Applications

  • Book Subtitle: 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

  • Series Title: Lecture Notes in Mathematics

  • DOI: https://doi.org/10.1007/b12016

  • Publisher: Springer Berlin, Heidelberg

  • eBook Packages: Springer Book Archive

  • Copyright Information: Springer-Verlag Berlin Heidelberg 2003

  • Softcover ISBN: 978-3-540-40192-6Published: 12 June 2003

  • eBook ISBN: 978-3-540-44857-0Published: 01 January 2003

  • Series ISSN: 0075-8434

  • Series E-ISSN: 1617-9692

  • Edition Number: 1

  • Number of Pages: VIII, 169

  • Number of Illustrations: 4 b/w illustrations

  • Topics: Differential Equations, Convex and Discrete Geometry, Differential Geometry, Calculus of Variations and Optimization, Probability Theory

Buying options

eBook USD 34.99
Price excludes VAT (Canada)
  • Available as PDF
  • Read on any device
  • Instant download
  • Own it forever
Softcover Book USD 49.95
Price excludes VAT (Canada)
  • Compact, lightweight edition
  • Dispatched in 3 to 5 business days
  • Free shipping worldwide - see info

Tax calculation will be finalised at checkout

Purchases are for personal use only

Learn about institutional subscriptions