LEADER 04710nam 22008775 450 001 9910144602103321 005 20200701041814.0 010 $a3-540-44857-8 024 7 $a10.1007/b12016 035 $a(CKB)1000000000233084 035 $a(SSID)ssj0000325415 035 $a(PQKBManifestationID)11251542 035 $a(PQKBTitleCode)TC0000325415 035 $a(PQKBWorkID)10324152 035 $a(PQKB)11393007 035 $a(DE-He213)978-3-540-44857-0 035 $a(MiAaPQ)EBC6282895 035 $a(MiAaPQ)EBC5576425 035 $a(Au-PeEL)EBL5576425 035 $a(OCoLC)52371051 035 $a(PPN)155220381 035 $a(EXLCZ)991000000000233084 100 $a20121227d2003 u| 0 101 0 $aeng 135 $aurnn|008mamaa 181 $ctxt 182 $cc 183 $acr 200 10$aOptimal Transportation and Applications $eLectures given at the C.I.M.E. Summer School held in Martina Franca, Italy, September 2?8, 2001 /$fby Luigi Ambrosio, Luis A. Caffarelli, Yann Brenier, Giuseppe Buttazzo, Cédric Villani ; edited by Luis A. Caffarelli, Sandro Salsa 205 $a1st ed. 2003. 210 1$aBerlin, Heidelberg :$cSpringer Berlin Heidelberg :$cImprint: Springer,$d2003. 215 $a1 online resource (VIII, 169 p. 4 illus.) 225 1 $aC.I.M.E. Foundation Subseries ;$v1813 300 $aBibliographic Level Mode of Issuance: Monograph 311 $a3-540-40192-X 320 $aIncludes bibliographical references. 327 $aPreface -- 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. 330 $aLeading researchers in the field of Optimal Transportation, with different views and perspectives, contribute to this Summer School volume: Monge-Ampère and Monge-Kantorovich theory, shape optimization and mass transportation are linked, among others, to applications in fluid mechanics granular material physics and statistical mechanics, emphasizing the attractiveness of the subject from both a theoretical and applied point of view. The volume is designed to become a guide to researchers willing to enter into this challenging and useful theory. 410 0$aC.I.M.E. Foundation Subseries ;$v1813 606 $aPartial differential equations 606 $aConvex geometry  606 $aDiscrete geometry 606 $aDifferential geometry 606 $aCalculus of variations 606 $aProbabilities 606 $aPartial Differential Equations$3https://scigraph.springernature.com/ontologies/product-market-codes/M12155 606 $aConvex and Discrete Geometry$3https://scigraph.springernature.com/ontologies/product-market-codes/M21014 606 $aDifferential Geometry$3https://scigraph.springernature.com/ontologies/product-market-codes/M21022 606 $aCalculus of Variations and Optimal Control; Optimization$3https://scigraph.springernature.com/ontologies/product-market-codes/M26016 606 $aProbability Theory and Stochastic Processes$3https://scigraph.springernature.com/ontologies/product-market-codes/M27004 615 0$aPartial differential equations. 615 0$aConvex geometry . 615 0$aDiscrete geometry. 615 0$aDifferential geometry. 615 0$aCalculus of variations. 615 0$aProbabilities. 615 14$aPartial Differential Equations. 615 24$aConvex and Discrete Geometry. 615 24$aDifferential Geometry. 615 24$aCalculus of Variations and Optimal Control; Optimization. 615 24$aProbability Theory and Stochastic Processes. 676 $a519.72 700 $aAmbrosio$b Luigi$4aut$4http://id.loc.gov/vocabulary/relators/aut$044009 702 $aCaffarelli$b Luis A$4aut$4http://id.loc.gov/vocabulary/relators/aut 702 $aBrenier$b Yann$4aut$4http://id.loc.gov/vocabulary/relators/aut 702 $aButtazzo$b Giuseppe$4aut$4http://id.loc.gov/vocabulary/relators/aut 702 $aVillani$b Cédric$4aut$4http://id.loc.gov/vocabulary/relators/aut 702 $aCaffarelli$b Luis A$4edt$4http://id.loc.gov/vocabulary/relators/edt 702 $aSalsa$b Sandro$4edt$4http://id.loc.gov/vocabulary/relators/edt 801 0$bMiAaPQ 801 1$bMiAaPQ 801 2$bMiAaPQ 906 $aBOOK 912 $a9910144602103321 996 $aOptimal transportation and applications$9262213 997 $aUNINA