Author	Ambrosio, Luigi. author
Title	Optimal Transportation and Applications [electronic resource] : Lectures given at the C.I.M.E. Summer School, held in Martina Franca, Italy, September 2-8, 2001 / by Luigi Ambrosio, Luis A. Caffarelli, Yann Brenier, Giuseppe Buttazzo, Cedric Villani, Sandro Salsa
Imprint	Berlin, Heidelberg : Springer Berlin Heidelberg, 2003
Connect to	http://dx.doi.org/10.1007/b12016
Descript	VIII, 169 p. 4 illus. online resource

Leading researchers in the field of Optimal Transportation, with different views and perspectives, contribute to this Summer School volume: Monge-Ampรจre 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

Preface -- L.A. Caffarelli: The Monge-Ampรจre 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

1. Mathematics
2. Partial differential equations
3. Convex geometry
4. Discrete geometry
5. Differential geometry
6. Calculus of variations
7. Probabilities
8. Mathematics
9. Partial Differential Equations
10. Convex and Discrete Geometry
11. Differential Geometry
12. Calculus of Variations and Optimal Control; Optimization
13. Probability Theory and Stochastic Processes