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. - Berlin, Heidelberg : Springer Berlin Heidelberg, 2003. - VIII, 169 p. online resource. - Lecture Notes in Mathematics, Fondazione C.I.M.E., Firenze, 1813 1617-9692 ; . - Lecture Notes in Mathematics, Fondazione C.I.M.E., Firenze, 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
Mathematics.
Differential equations, partial.
Discrete groups.
Global differential geometry.
Mathematical optimization.
Distribution (Probability theory).
Mathematics.
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. - Berlin, Heidelberg : Springer Berlin Heidelberg, 2003. - VIII, 169 p. online resource. - Lecture Notes in Mathematics, Fondazione C.I.M.E., Firenze, 1813 1617-9692 ; . - Lecture Notes in Mathematics, Fondazione C.I.M.E., Firenze, 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
Mathematics.
Differential equations, partial.
Discrete groups.
Global differential geometry.
Mathematical optimization.
Distribution (Probability theory).
Mathematics.
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