LEADER 04738nam 22008175 450 001 996466627803316 005 20200706141547.0 010 $a3-642-21861-X 024 7 $a10.1007/978-3-642-21861-3 035 $a(CKB)2670000000100003 035 $a(SSID)ssj0000508480 035 $a(PQKBManifestationID)11336133 035 $a(PQKBTitleCode)TC0000508480 035 $a(PQKBWorkID)10556300 035 $a(PQKB)11274090 035 $a(DE-He213)978-3-642-21861-3 035 $a(MiAaPQ)EBC3067024 035 $a(PPN)156308061 035 $a(EXLCZ)992670000000100003 100 $a20110728d2011 u| 0 101 0 $aeng 135 $aurnn#008mamaa 181 $ctxt 182 $cc 183 $acr 200 10$aNonlinear PDE?s and Applications$b[electronic resource] $eC.I.M.E. Summer School, Cetraro, Italy 2008, Editors: Luigi Ambrosio, Giuseppe Savaré /$fby Stefano Bianchini, Eric A. Carlen, Alexander Mielke, Cédric Villani 205 $a1st ed. 2011. 210 1$aBerlin, Heidelberg :$cSpringer Berlin Heidelberg :$cImprint: Springer,$d2011. 215 $a1 online resource (XIII, 224 p. 8 illus., 7 illus. in color.) 225 1 $aC.I.M.E. Foundation Subseries ;$v2028 300 $aBibliographic Level Mode of Issuance: Monograph 311 $a3-642-21718-4 320 $aIncludes bibliographical references and index. 327 $aTransport Rays and Applications to Hamilton-Jacobi Equations -- Functional Inequalities and Dynamics -- Differential, Energetic, and Metric Formulations for Rate-independent Processes -- Optimal Transport and Curvature. 330 $aThis volume collects the notes of the CIME course "Nonlinear PDE?s and applications" held in Cetraro (Italy) on June 23?28, 2008. It consists of four series of lectures, delivered by Stefano Bianchini (SISSA, Trieste), Eric A. Carlen (Rutgers University), Alexander Mielke (WIAS, Berlin), and Cédric Villani (Ecole Normale Superieure de Lyon). They presented a broad overview of far-reaching findings and exciting new developments concerning, in particular, optimal transport theory, nonlinear evolution equations, functional inequalities, and differential geometry. A sampling of the main topics considered here includes optimal transport, Hamilton-Jacobi equations, Riemannian geometry, and their links with sharp geometric/functional inequalities, variational methods for studying nonlinear evolution equations and their scaling properties, and the metric/energetic theory of gradient flows and of rate-independent evolution problems. The book explores the fundamental connections between all of these topics and points to new research directions in contributions by leading experts in these fields. 410 0$aC.I.M.E. Foundation Subseries ;$v2028 606 $aMathematical analysis 606 $aAnalysis (Mathematics) 606 $aPartial differential equations 606 $aCalculus of variations 606 $aFunctional analysis 606 $aDifferential geometry 606 $aAnalysis$3https://scigraph.springernature.com/ontologies/product-market-codes/M12007 606 $aPartial Differential Equations$3https://scigraph.springernature.com/ontologies/product-market-codes/M12155 606 $aCalculus of Variations and Optimal Control; Optimization$3https://scigraph.springernature.com/ontologies/product-market-codes/M26016 606 $aFunctional Analysis$3https://scigraph.springernature.com/ontologies/product-market-codes/M12066 606 $aDifferential Geometry$3https://scigraph.springernature.com/ontologies/product-market-codes/M21022 610 1 $aNonlinear PDEs 610 2 $aCIME 615 0$aMathematical analysis. 615 0$aAnalysis (Mathematics). 615 0$aPartial differential equations. 615 0$aCalculus of variations. 615 0$aFunctional analysis. 615 0$aDifferential geometry. 615 14$aAnalysis. 615 24$aPartial Differential Equations. 615 24$aCalculus of Variations and Optimal Control; Optimization. 615 24$aFunctional Analysis. 615 24$aDifferential Geometry. 676 $a515/.353 700 $aBianchini$b Stefano$4aut$4http://id.loc.gov/vocabulary/relators/aut$0119195 702 $aCarlen$b Eric A$4aut$4http://id.loc.gov/vocabulary/relators/aut 702 $aMielke$b Alexander$4aut$4http://id.loc.gov/vocabulary/relators/aut 702 $aVillani$b Cédric$4aut$4http://id.loc.gov/vocabulary/relators/aut 712 02$aCentro internazionale matematico estivo. 712 12$aC.I.M.E. Summer School$f(2008 :$eCetraro, Italy) 906 $aBOOK 912 $a996466627803316 996 $aNonlinear PDE?s and applications$9261816 997 $aUNISA