Luigi Ambrosio, Luis A. Caffarelli, Yann Brenier

Optimal Transportation and Applications

Lectures given at the C.I.M.E. Summer School held in Martina Franca, Italy, September 2-8, 2001
Herausgegeben:Caffarelli, Luis A.; Salsa, Sandro

• Broschiertes Buch

Produktbeschreibung

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.

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Produktdetails

• Lecture Notes in Mathematics 1813
• Verlag: Springer / Springer Berlin Heidelberg / Springer, Berlin
• Artikelnr. des Verlages: 978-3-540-40192-6
• 2003
• Seitenzahl: 180
• Erscheinungstermin: 12. Juni 2003
• Englisch
• Abmessung: 235mm x 155mm x 11mm
• Gewicht: 302g
• ISBN-13: 9783540401926
• ISBN-10: 354040192X
• Artikelnr.: 23417099

Autorenporträt

Luigi Ambrosio, Scuola Normale Superiore, Pisa, Italy / Luis A. Caffarelli, Texas University, Austin, TX, USA / Yann Brenier, University Nice, Laboratoire L. A. Dieudonné France / Giuseppe Buttazzo, Pisa University, Italy / Cedric Villani, École Normale Supérieure de Lyon, France

Inhaltsangabe

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.