Optimal Transportation and Applications

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Lectures given at the C.I.M.E.Summer School held in Martina Franca, Italy, September 2-8,2001 – Lecture Notes in Mathematics/Fondazione C.I.M.E., Firenze 1813, Lecture Notes in Mathematics 1813 – C.I.M.E. Foundation Subseries

ISBN: 354040192X
ISBN 13: 9783540401926
Herausgeber: Luis A Caffarelli/Sandro Salsa
Verlag: Springer Verlag GmbH
Umfang: viii, 169 S., 4 s/w Illustr., 169 p. 4 illus.
Erscheinungsdatum: 12.06.2003
Weitere Autoren: Ambrosio, Luigi/Caffarelli, Luis A/Brenier, Yann et al
Auflage: 1/2003
Produktform: Kartoniert
Einband: KT

Includes supplementary material: sn.pub/extras

Artikelnummer: 1463561 Kategorie:

Beschreibung

Leading researchersin 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. Thevolume is designed to become a guide to researchers willing to enter into this challenging and useful theory.

Inhaltsverzeichnis

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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