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.

By: Ambrosio, Luigi [author.]Contributor(s): Caffarelli, Luis A [author.] | Brenier, Yann [author.] | Buttazzo, Giuseppe [author.] | Villani, Cedric [author.] | Salsa, Sandro [author.] | SpringerLink (Online service)Material type: TextTextSeries: Lecture Notes in Mathematics, Fondazione C.I.M.E., Firenze ; 1813Publisher: Berlin, Heidelberg : Springer Berlin Heidelberg, 2003Description: VIII, 169 p. online resourceContent type: text Media type: computer Carrier type: online resourceISBN: 9783540448570Subject(s): 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 ProcessesAdditional physical formats: Printed edition:: No titleDDC classification: 515.353 LOC classification: QA370-380Online resources: Click here to access online
Contents:
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.
In: Springer eBooksSummary: 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.
Item type: E-BOOKS
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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.

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