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Record Nr. |
UNINA9910144602103321 |
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Autore |
Ambrosio Luigi |
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Titolo |
Optimal Transportation and Applications : 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, Cédric Villani ; edited by Luis A. Caffarelli, Sandro Salsa |
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Pubbl/distr/stampa |
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Berlin, Heidelberg : , : Springer Berlin Heidelberg : , : Imprint : Springer, , 2003 |
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ISBN |
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Edizione |
[1st ed. 2003.] |
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Descrizione fisica |
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1 online resource (VIII, 169 p. 4 illus.) |
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Collana |
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C.I.M.E. Foundation Subseries ; ; 1813 |
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Disciplina |
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Soggetti |
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Partial differential equations |
Convex geometry |
Discrete geometry |
Differential geometry |
Calculus of variations |
Probabilities |
Partial Differential Equations |
Convex and Discrete Geometry |
Differential Geometry |
Calculus of Variations and Optimal Control; Optimization |
Probability Theory and Stochastic Processes |
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Lingua di pubblicazione |
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Formato |
Materiale a stampa |
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Livello bibliografico |
Monografia |
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Note generali |
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Bibliographic Level Mode of Issuance: Monograph |
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Nota di bibliografia |
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Includes bibliographical references. |
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Nota di contenuto |
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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. |
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Sommario/riassunto |
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Leading researchers in the field of Optimal Transportation, with different views and perspectives, contribute to this Summer School |
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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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