LEADER 02735nam a2200325 i 4500 001 991003377389707536 008 170530s2015 sz a |00| 0|eng d 020 $a9783319208275 035 $ab14324623-39ule_inst 082 04$a515.64$223 084 $aAMS 49-02 084 $aLC QA402.5 100 1 $aSantambrogio, Filippo$0742112 245 10$aOptimal transport for applied mathematicians :$bcalculus of variations, PDEs, and modeling /$cFilippo Santambrogio 264 1$aCham :$bSpringer International Publishing,$cc2015 300 $axxvii, 353 p. :$b30 ill., 19 ill. in color ;$c24 cm 490 1 $aProgress in nonlinear differential equations and their applications,$x1421-1750 ;$v87 504 $aIncludes bibliographical references 505 0 $aPreface ; Primal and dual problems ; One-dimensional Issues ; L? L?[subscript] theory ; Minimal flows ; Wasserstein spaces ; Numerical methods ; Functionals over probabilities ; Gradient flows ; Exercises ; References ; Index 520 $aThis monograph presents a rigorous mathematical introduction to optimal transport as a variational problem, its use in modeling various phenomena, and its connections with partial differential equations. Its main goal is to provide the reader with the techniques necessary to understand the current research in optimal transport and the tools which are most useful for its applications. Full proofs are used to illustrate mathematical concepts and each chapter includes a section that discusses applications of optimal transport to various areas, such as economics, finance, potential games, image processing and fluid dynamics. Several topics are covered that have never been previously in books on this subject, such as the Knothe transport, the properties of functionals on measures, the Dacorogna-Moser flow, the formulation through minimal flows with prescribed divergence formulation, the case of the supremal cost, and the most classical numerical methods. Graduate students and researchers in both pure and applied mathematics interested in the problems and applications of optimal transport will find this to be an invaluable resource 650 0$aMeasure theory 650 0$aPartial differential equations 650 0$aCalculus of variations 830 0$aProgress in nonlinear differential equations and their applications,$x1421-1750 ;$v87 907 $a.b14324623$b05-06-17$c30-05-17 912 $a991003377389707536 945 $aLE013 49-XX SAN11 (2015)$g1$i2013000294766$lle013$op$pE62.39$q-$rl$s- $t0$u0$v0$w0$x0$y.i15809444$z05-06-17 996 $aOptimal transport for applied mathematicians$91474054 997 $aUNISALENTO 998 $ale013$b30-05-17$cm$da $e-$feng$gsz $h0$i0 LEADER 01785oam 2200601zu 450 001 9910153167503321 005 20210803233832.0 010 $a9782336706979 010 $a2336706970 035 $a(CKB)3780000000048521 035 $a(SSID)ssj0001436907 035 $a(PQKBManifestationID)12540059 035 $a(PQKBTitleCode)TC0001436907 035 $a(PQKBWorkID)11444578 035 $a(PQKB)10610089 035 $a(PPN)19222655X 035 $a(FR-PaCSA)88840058 035 $a(FRCYB88840058)88840058 035 $a(EXLCZ)993780000000048521 100 $a20160829d2014 uy 101 0 $afre 135 $aurun| ||||| 181 $ctxt 182 $cc 183 $acr 200 13$aLa médecine au c?ur de la nouvelle Économie 210 31$a[Place of publication not identified]$cL'Harmattan$d2014 215 $a1 online resource (326 p.) 300 $aBibliographic Level Mode of Issuance: Monograph 311 08$a9782343041117 311 08$a2343041113 311 08$a9782336356860 311 08$a2336356864 606 $aMedical economics$zFrance 606 $aMedical policy$zFrance 606 $aSocial medicine$zFrance 606 $aMedical care, Cost of$zFrance 606 $aPublic Health$2HILCC 606 $aHealth & Biological Sciences$2HILCC 606 $aMedical Economics$2HILCC 615 0$aMedical economics 615 0$aMedical policy 615 0$aSocial medicine 615 0$aMedical care, Cost of 615 7$aPublic Health 615 7$aHealth & Biological Sciences 615 7$aMedical Economics 700 $aPersoons$b Dominique$01078276 801 0$bPQKB 906 $aBOOK 912 $a9910153167503321 996 $aLa médecine au c?ur de la nouvelle Économie$92590200 997 $aUNINA