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

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.

List 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.

Summary

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.

Product details

• Authors: Luig Ambrosio, Luigi Ambrosio, Yann Brenier, Yann e Brenier, Giuseppe Buttazzo, Luis Caffarelli, Luis A Caffarelli, Luis A. Caffarelli, Cedric Villani, Cédric Villani
• Assisted by: Lui A Caffarelli (Editor), Luis A Caffarelli (Editor), Luis A. Caffarelli (Editor), Luis Angel Caffarelli (Editor), Salsa (Editor), Salsa (Editor), Sandro Salsa (Editor)
• Publisher: Springer, Berlin
• Languages: English
• Product format: Paperback / Softback
• Released: 01.01.2003
• EAN: 9783540401926
• ISBN: 978-3-540-40192-6
• No. of pages: 171
• Weight: 268 g
• Series: Lecture Notes in Mathematics; Lecture Notes in Mathematics / Fondazione C.I.M.E., Firenze; C.I.M.E. Foundation Subseries; Fondazione C.I.M.E., Firenze; Lecture Notes in Mathematics; C.I.M.E. Foundation Subseries
• Subjects: Natural sciences, medicine, IT, technology > Mathematics > Analysis; C, Optimization, Mathematics and Statistics, Algebraic Geometry, Probability Theory and Stochastic Processes, Discrete Mathematics, Differential Geometry, Probability & statistics, Discrete geometry, Convex and Discrete Geometry, Convex geometry, Partial Differential Equations, Differential equations, Probabilities, Stochastics, Probability Theory, Calculus of Variations and Optimization, Calculus of variations, Calculus of Variations and Optimal Control; Optimization, Differential & Riemannian geometry, Probability and statistics