Optimal transportation and applications: lectures given at the C.I.M.E. summer school held in Martina Franca, Italy, September 2-8, 2001

Luigi Ambrosio, Luis A. Caffarelli, Yann Brenier, Giuseppe Buttazzo, Cédric Villani, Luis A. Caffarelli, Sandro Salsa9783540401926, 354040192X

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