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

• Main Authors: Ambrosio, Luigi (Author, http://id.loc.gov/vocabulary/relators/aut), Caffarelli, Luis A. (http://id.loc.gov/vocabulary/relators/aut, Editor, http://id.loc.gov/vocabulary/relators/edt), Brenier, Yann (http://id.loc.gov/vocabulary/relators/aut), Buttazzo, Giuseppe (http://id.loc.gov/vocabulary/relators/aut), Villani, Cédric (http://id.loc.gov/vocabulary/relators/aut)
• Corporate Author: SpringerLink (Online service)
• Other Authors: Salsa, Sandro (Editor, http://id.loc.gov/vocabulary/relators/edt)
• Format: Electronic eBook
• Language: English
• Published: Berlin, Heidelberg : Springer Berlin Heidelberg : Imprint: Springer, 2003.
• Edition: 1st ed. 2003.
• Series: C.I.M.E. Foundation Subseries ; 1813
• Subjects: Partial differential equations.; Convex geometry .; Discrete geometry.; Differential geometry.; Calculus of variations.; Probabilities.; Partial Differential Equations.; Convex and Discrete Geometry.; Differential Geometry.; Calculus of Variations and Optimal Control; Optimization.; Probability Theory and Stochastic Processes.

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 mat...

Table 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.