Optimal Transportation and Applications
Ambrosio, Luigi.
Optimal Transportation and Applications Lectures given at the C.I.M.E. Summer School, held in Martina Franca, Italy, September 2-8, 2001 / [electronic resource] : by Luigi Ambrosio, Luis A. Caffarelli, Yann Brenier, Giuseppe Buttazzo, Cedric Villani, Sandro Salsa. - VIII, 169 p. 4 illus. online resource. - C.I.M.E. Foundation Subseries ; 1813 . - C.I.M.E. Foundation Subseries ; 1813 .
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.
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.
9783540448570
10.1007/b12016 doi
Differential equations, partial.
Discrete groups.
Global differential geometry.
Mathematical optimization.
Distribution (Probability theory.
Partial Differential Equations.
Convex and Discrete Geometry.
Differential Geometry.
Calculus of Variations and Optimal Control; Optimization.
Probability Theory and Stochastic Processes.
QA370-380
515.353
Optimal Transportation and Applications Lectures given at the C.I.M.E. Summer School, held in Martina Franca, Italy, September 2-8, 2001 / [electronic resource] : by Luigi Ambrosio, Luis A. Caffarelli, Yann Brenier, Giuseppe Buttazzo, Cedric Villani, Sandro Salsa. - VIII, 169 p. 4 illus. online resource. - C.I.M.E. Foundation Subseries ; 1813 . - C.I.M.E. Foundation Subseries ; 1813 .
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.
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.
9783540448570
10.1007/b12016 doi
Differential equations, partial.
Discrete groups.
Global differential geometry.
Mathematical optimization.
Distribution (Probability theory.
Partial Differential Equations.
Convex and Discrete Geometry.
Differential Geometry.
Calculus of Variations and Optimal Control; Optimization.
Probability Theory and Stochastic Processes.
QA370-380
515.353