Optimal Transportation and Applications: Lectures given at the C.I.M.E. Summer School held in Martina Franca, Italy, September 2-8, 2001 / Edition 1

Optimal Transportation and Applications: Lectures given at the C.I.M.E. Summer School held in Martina Franca, Italy, September 2-8, 2001 / Edition 1

by Luigi Ambrosio, Luis Angel Caffarelli, Yann Brenier, Giuseppe Buttazzo
     
 

ISBN-10: 354040192X

ISBN-13: 9783540401926

Pub. Date: 08/05/2003

Publisher: Springer Berlin Heidelberg

Leading researchers in the field of Optimal Transportation, with different views and perspectives, contribute to this Summer School volume: Monge-Amp re 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

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Overview

Leading researchers in the field of Optimal Transportation, with different views and perspectives, contribute to this Summer School volume: Monge-Amp re 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.

Product Details

ISBN-13:
9783540401926
Publisher:
Springer Berlin Heidelberg
Publication date:
08/05/2003
Series:
Lecture Notes in Mathematics / C.I.M.E. Foundation Subseries, #1813
Edition description:
2003
Pages:
169
Product dimensions:
6.10(w) x 9.25(h) x 0.36(d)

Table of Contents

Preface.- L.A. Caffarelli: The Monge-Ampère equation and Optimal Transportation, an elementary view.- G. Buttazzo, L. De Pascale: Optimal Shapes and Masses, and Optimal Transportation Problems.- C. Villani: Optimal Transportation, dissipative PDE's and functional inequalities.- Y. Brenier: Extended Monge-Kantorowich Theory.- L. Ambrosio, A. Pratelli: Existence and Stability results in the L1 Theory of Optimal Transportation.

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