03428nam 2200625 a 450 991048482160332120200520144314.09783642218613364221861X10.1007/978-3-642-21861-3(CKB)2670000000100003(SSID)ssj0000508480(PQKBManifestationID)11336133(PQKBTitleCode)TC0000508480(PQKBWorkID)10556300(PQKB)11274090(DE-He213)978-3-642-21861-3(MiAaPQ)EBC3067024(PPN)156308061(EXLCZ)99267000000010000320110720d2011 uy 0engurnn#008mamaatxtccrNonlinear PDE's and applications C.I.M.E. Summer School, Cetraro, Italy 2008 /Stefano Bianchini ... [et al.] ; editors, Luigi Ambrosio, Giuseppe Savare1st ed. 2011.Berlin Springer20111 online resource (XIII, 224 p. 8 illus., 7 illus. in color.)Lecture notes in mathematics,0075-8434 ;2028Bibliographic Level Mode of Issuance: Monograph9783642217180 3642217184 Includes bibliographical references and index.Transport Rays and Applications to Hamilton-Jacobi Equations -- Functional Inequalities and Dynamics -- Differential, Energetic, and Metric Formulations for Rate-independent Processes -- Optimal Transport and Curvature.This 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.Lecture notes in mathematics (Springer-Verlag) ;2028.Differential equations, PartialCongressesDifferential equations, NonlinearCongressesDifferential equations, PartialDifferential equations, Nonlinear515/.353Bianchini S(Stefano)1022579Ambrosio Luigi44009Savare Giuseppe725960Centro internazionale matematico estivo.C.I.M.E. Summer School(2008 :Cetraro, Italy)MiAaPQMiAaPQMiAaPQBOOK9910484821603321Nonlinear PDE's and applications4198581UNINA