Titolo: 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)
Editore: Springer
Data di pubblicazione: 2003
Lingua: Inglese
ISBN 10: 354040192X
ISBN 13: 9783540401926
Rilegatura: Brossura
Condizione: New

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Riassunto

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.

Contenuti

Preface.- L.A. Caffarelli: The Monge-Amp�re 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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