TY - BOOK AU - Ambrosio,Luigi AU - Caffarelli,Luis A. AU - Brenier,Yann AU - Buttazzo,Giuseppe AU - Villani,Cedric AU - Salsa,Sandro ED - SpringerLink (Online service) TI - Optimal Transportation and Applications: Lectures given at the C.I.M.E. Summer School, held in Martina Franca, Italy, September 2-8, 2001 T2 - Lecture Notes in Mathematics, Fondazione C.I.M.E., Firenze, SN - 9783540448570 AV - QA370-380 U1 - 515.353 23 PY - 2003/// CY - Berlin, Heidelberg PB - Springer Berlin Heidelberg KW - Mathematics KW - Differential equations, partial KW - Discrete groups KW - Global differential geometry KW - Mathematical optimization KW - Distribution (Probability theory) KW - Partial Differential Equations KW - Convex and Discrete Geometry KW - Differential Geometry KW - Calculus of Variations and Optimal Control; Optimization KW - Probability Theory and Stochastic Processes N1 - 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 N2 - 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 UR - http://dx.doi.org/10.1007/b12016 ER -