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020 _a9783642218613
_9978-3-642-21861-3
040 _cMX-MeUAM
050 4 _aQA299.6-433
082 0 4 _a515
_223
100 1 _aBianchini, Stefano.
_eauthor.
245 1 0 _aNonlinear PDE’s and Applications
_h[recurso electrónico] :
_bC.I.M.E. Summer School, Cetraro, Italy 2008, Editors: Luigi Ambrosio, Giuseppe Savaré /
_cby Stefano Bianchini, Eric A. Carlen, Alexander Mielke, Cédric Villani.
264 1 _aBerlin, Heidelberg :
_bSpringer Berlin Heidelberg :
_bImprint: Springer,
_c2011.
300 _aXIII, 224 p. 8 illus., 7 illus. in color.
_bonline resource.
336 _atext
_btxt
_2rdacontent
337 _acomputer
_bc
_2rdamedia
338 _aonline resource
_bcr
_2rdacarrier
347 _atext file
_bPDF
_2rda
490 1 _aLecture Notes in Mathematics,
_x0075-8434 ;
_v2028
505 0 _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.
520 _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.
650 0 _aMathematics.
650 0 _aGlobal analysis (Mathematics).
650 0 _aFunctional analysis.
650 0 _aDifferential equations, partial.
650 0 _aGlobal differential geometry.
650 0 _aMathematical optimization.
650 1 4 _aMathematics.
650 2 4 _aAnalysis.
650 2 4 _aPartial Differential Equations.
650 2 4 _aCalculus of Variations and Optimal Control; Optimization.
650 2 4 _aFunctional Analysis.
650 2 4 _aDifferential Geometry.
700 1 _aCarlen, Eric A.
_eauthor.
700 1 _aMielke, Alexander.
_eauthor.
700 1 _aVillani, Cédric.
_eauthor.
710 2 _aSpringerLink (Online service)
773 0 _tSpringer eBooks
776 0 8 _iPrinted edition:
_z9783642217180
830 0 _aLecture Notes in Mathematics,
_x0075-8434 ;
_v2028
856 4 0 _zLibro electrónico
_uhttp://148.231.10.114:2048/login?url=http://link.springer.com/book/10.1007/978-3-642-21861-3
596 _a19
942 _cLIBRO_ELEC
999 _c204257
_d204257