04735nam 22008775 450 99646638390331620200701041814.03-540-44857-810.1007/b12016(CKB)1000000000233084(SSID)ssj0000325415(PQKBManifestationID)11251542(PQKBTitleCode)TC0000325415(PQKBWorkID)10324152(PQKB)11393007(DE-He213)978-3-540-44857-0(MiAaPQ)EBC6282895(MiAaPQ)EBC5576425(Au-PeEL)EBL5576425(OCoLC)52371051(PPN)155220381(EXLCZ)99100000000023308420121227d2003 u| 0engurnn|008mamaatxtccrOptimal 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, Cédric Villani ; edited by Luis A. Caffarelli, Sandro Salsa1st ed. 2003.Berlin, Heidelberg :Springer Berlin Heidelberg :Imprint: Springer,2003.1 online resource (VIII, 169 p. 4 illus.) C.I.M.E. Foundation Subseries ;1813Bibliographic Level Mode of Issuance: Monograph3-540-40192-X Includes bibliographical references.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.C.I.M.E. Foundation Subseries ;1813Partial differential equationsConvex geometry Discrete geometryDifferential geometryCalculus of variationsProbabilitiesPartial Differential Equationshttps://scigraph.springernature.com/ontologies/product-market-codes/M12155Convex and Discrete Geometryhttps://scigraph.springernature.com/ontologies/product-market-codes/M21014Differential Geometryhttps://scigraph.springernature.com/ontologies/product-market-codes/M21022Calculus of Variations and Optimal Control; Optimizationhttps://scigraph.springernature.com/ontologies/product-market-codes/M26016Probability Theory and Stochastic Processeshttps://scigraph.springernature.com/ontologies/product-market-codes/M27004Partial 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.519.72Ambrosio Luigiauthttp://id.loc.gov/vocabulary/relators/aut44009Caffarelli Luis Aauthttp://id.loc.gov/vocabulary/relators/autBrenier Yannauthttp://id.loc.gov/vocabulary/relators/autButtazzo Giuseppeauthttp://id.loc.gov/vocabulary/relators/autVillani Cédricauthttp://id.loc.gov/vocabulary/relators/autCaffarelli Luis Aedthttp://id.loc.gov/vocabulary/relators/edtSalsa Sandroedthttp://id.loc.gov/vocabulary/relators/edtMiAaPQMiAaPQMiAaPQBOOK996466383903316Optimal transportation and applications262213UNISA