Optimal transportation and applications : lectures given at the C.I.M.E. Summer School held in Martina Franca, Italy, September 2-8, 2001
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Bibliographic Information
Optimal transportation and applications : lectures given at the C.I.M.E. Summer School held in Martina Franca, Italy, September 2-8, 2001
（Lecture notes in mathematics, 1813 . Fondazione C.I.M.E.,
Springer, c2003
Available at 67 libraries
Note
Includes bibliographical references
Description and Table of Contents
Description
Leading researchers in the field of Optimal Transportation, with different views and perspectives, contribute to this Summer School volume: Monge-Ampere 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
Preface.- L.A. Caffarelli: The Monge-Ampere 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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