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

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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