02735nam a2200325 i 4500991003377389707536170530s2015 sz a |00| 0|eng d9783319208275b14324623-39ule_inst515.6423AMS 49-02LC QA402.5Santambrogio, Filippo742112Optimal transport for applied mathematicians :calculus of variations, PDEs, and modeling /Filippo SantambrogioCham :Springer International Publishing,c2015xxvii, 353 p. :30 ill., 19 ill. in color ;24 cmProgress in nonlinear differential equations and their applications,1421-1750 ;87Includes bibliographical referencesPreface ; Primal and dual problems ; One-dimensional Issues ; Lₑ L∞[subscript] theory ; Minimal flows ; Wasserstein spaces ; Numerical methods ; Functionals over probabilities ; Gradient flows ; Exercises ; References ; IndexThis 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 resourceMeasure theoryPartial differential equationsCalculus of variationsProgress in nonlinear differential equations and their applications,1421-1750 ;87.b1432462305-06-1730-05-17991003377389707536LE013 49-XX SAN11 (2015)12013000294766le013pE62.39-l- 00000.i1580944405-06-17Optimal transport for applied mathematicians1474054UNISALENTOle01330-05-17ma -engsz 0001348nam2 22003131i 450 UON0042550120231205104845.44805-212-3117-520130529d2000 |0itac50 baengGB|||| 1||||ˆ8.: ‰Previously uncollected lettersgeneral indexJames T. BoultonCambridgeCambridge university press2000xvii, 418 p.23 cm.001UON004254652001 ˆThe ‰Letters of D.H.LawrenceJames T. Boulton210 Cambridge [etc.]Cambridge university1969215 xxix, 579 p.23 cm.8LAWRENCE DAVID HERBERTUONC039601FICambridgeUONL000022823.914Narrativa inglese, 1945-199921LAWRENCEDavid HerbertUONV11259560980BOULTONJames ThompsonUONV113796168847Cambridge University PressUONV245943650ITSOL20250620RICASIBA - SISTEMA BIBLIOTECARIO DI ATENEOUONSIUON00425501SIBA - SISTEMA BIBLIOTECARIO DI ATENEOSI Angl 10 CLWL 31 SI LO 68400 5 31 BuonoGeneral index1184938Previously uncollected letters1184937UNIOR