C.I.M.E. Foundation Subseries

Optimal Transportation and Applications

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

Authors: Ambrosio, L., Caffarelli, L.A., Brenier, Y., Buttazzo, G., Villani, C.

Editors: Caffarelli, Luis Angel, Salsa, Sandro (Eds.)

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eBook $34.99
price for USA (gross)
  • ISBN 978-3-540-44857-0
  • Digitally watermarked, DRM-free
  • Included format: PDF
  • ebooks can be used on all reading devices
  • Immediate eBook download after purchase
Softcover $49.95
price for USA
  • ISBN 978-3-540-40192-6
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  • Usually dispatched within 3 to 5 business days.
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.

Table of contents (5 chapters)

  • The Monge-Ampère Equation and Optimal Transportation, an elementary review

    Caffarelli, Luis A.

    Pages 1-10

  • Optimal Shapes and Masses, and Optimal Transportation Problems

    Buttazzo, Giuseppe (et al.)

    Pages 11-51

  • Optimal transportation, dissipative PDE’s and functional inequalities

    Villani, Cedric

    Pages 53-89

  • Extended Monge-Kantorovich Theory

    Brenier, Yann

    Pages 91-121

  • Existence and stability results in the L1 theory of optimal transportation

    Ambrosio, Luigi (et al.)

    Pages 123-160

Buy this book

eBook $34.99
price for USA (gross)
  • ISBN 978-3-540-44857-0
  • Digitally watermarked, DRM-free
  • Included format: PDF
  • ebooks can be used on all reading devices
  • Immediate eBook download after purchase
Softcover $49.95
price for USA
  • ISBN 978-3-540-40192-6
  • Free shipping for individuals worldwide
  • Usually dispatched within 3 to 5 business days.
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Bibliographic Information

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
Editors
  • Luis Angel Caffarelli
  • Sandro Salsa
Series Title
C.I.M.E. Foundation Subseries
Series Volume
1813
Copyright
2003
Publisher
Springer-Verlag Berlin Heidelberg
Copyright Holder
Springer-Verlag Berlin Heidelberg
eBook ISBN
978-3-540-44857-0
DOI
10.1007/b12016
Softcover ISBN
978-3-540-40192-6
Edition Number
1
Number of Pages
VIII, 169
Number of Illustrations and Tables
4 b/w illustrations
Topics