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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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Autore: Ambrosio Luigi Visualizza persona
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 Visualizza cluster
Pubblicazione: Berlin, Heidelberg : , : Springer Berlin Heidelberg : , : Imprint : Springer, , 2003
Edizione: 1st ed. 2003.
Descrizione fisica: 1 online resource (VIII, 169 p. 4 illus.)
Disciplina: 519.72
Soggetto topico: 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
Persona (resp. second.): CaffarelliLuis A
BrenierYann
ButtazzoGiuseppe
VillaniCédric
SalsaSandro
Note generali: Bibliographic Level Mode of Issuance: Monograph
Nota di bibliografia: Includes bibliographical references.
Nota di contenuto: 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.
Sommario/riassunto: 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.
Titolo autorizzato: Optimal transportation and applications  Visualizza cluster
ISBN: 3-540-44857-8
Formato: Materiale a stampa
Livello bibliografico Monografia
Lingua di pubblicazione: Inglese
Record Nr.: 9910144602103321
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Serie: C.I.M.E. Foundation Subseries ; ; 1813