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100   $a20110720d2011      uy         0
101 0 $aeng
135   $aurnn#008mamaa
181   $ctxt
182   $cc
183   $acr
200 10$aNonlinear PDE's and applications $eC.I.M.E. Summer School, Cetraro, Italy 2008 /$fStefano Bianchini ... [et al.] ; editors, Luigi Ambrosio, Giuseppe Savare
205   $a1st ed. 2011.
210   $aBerlin $cSpringer$d2011
215   $a1 online resource (XIII, 224 p. 8 illus., 7 illus. in color.)
225 1 $aLecture notes in mathematics,$x0075-8434 ;$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   $aThis volume collects the notes of the CIME course "Nonlinear PDE?s and applications" held in Cetraro (Italy) on June 23?28, 2008. It consists of four series of lectures, delivered by Stefano Bianchini (SISSA, Trieste), Eric A. Carlen (Rutgers University), Alexander Mielke (WIAS, Berlin), and Cédric Villani (Ecole Normale Superieure de Lyon). They presented a broad overview of far-reaching findings and exciting new developments concerning, in particular, optimal transport theory, nonlinear evolution equations, functional inequalities, and differential geometry. A sampling of the main topics considered here includes optimal transport, Hamilton-Jacobi equations, Riemannian geometry, and their links with sharp geometric/functional inequalities, variational methods for studying nonlinear evolution equations and their scaling properties, and the metric/energetic theory of gradient flows and of rate-independent evolution problems. The book explores the fundamental connections between all of these topics and points to new research directions in contributions by leading experts in these fields.
410  0$aLecture notes in mathematics (Springer-Verlag) ;$v2028.
606   $aDifferential equations, Partial$vCongresses
606   $aDifferential equations, Nonlinear$vCongresses
615  0$aDifferential equations, Partial
615  0$aDifferential equations, Nonlinear
676   $a515/.353
700   $aBianchini$b S$g(Stefano)$01022579
701   $aAmbrosio$b Luigi$044009
701   $aSavare$b Giuseppe$0725960
712 02$aCentro internazionale matematico estivo.
712 12$aC.I.M.E. Summer School$f(2008 :$eCetraro, Italy)
801  0$bMiAaPQ
801  1$bMiAaPQ
801  2$bMiAaPQ
906   $aBOOK
912   $a9910484821603321
996   $aNonlinear PDE's and applications$94198581
997   $aUNINA