000			04002nam a22005775i 4500
001			978-3-642-21861-3
003			DE-He213
005			20190213151410.0
007			cr nn 008mamaa
008			110728s2011 gw | s |||| 0|eng d
020			_a9783642218613 _9978-3-642-21861-3
024	7		_a10.1007/978-3-642-21861-3 _2doi
050		4	_aQA299.6-433
072		7	_aPBK _2bicssc
072		7	_aMAT034000 _2bisacsh
072		7	_aPBK _2thema
082	0	4	_a515 _223
100	1		_aBianchini, Stefano. _eauthor. _4aut _4http://id.loc.gov/vocabulary/relators/aut
245	1	0	_aNonlinear PDE’s and Applications _h[electronic resource] : _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		_aC.I.M.E. Foundation Subseries ; _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	_aGlobal analysis (Mathematics).
650		0	_aDifferential equations, partial.
650		0	_aMathematical optimization.
650		0	_aFunctional analysis.
650		0	_aGlobal differential geometry.
650	1	4	_aAnalysis. _0http://scigraph.springernature.com/things/product-market-codes/M12007
650	2	4	_aPartial Differential Equations. _0http://scigraph.springernature.com/things/product-market-codes/M12155
650	2	4	_aCalculus of Variations and Optimal Control; Optimization. _0http://scigraph.springernature.com/things/product-market-codes/M26016
650	2	4	_aFunctional Analysis. _0http://scigraph.springernature.com/things/product-market-codes/M12066
650	2	4	_aDifferential Geometry. _0http://scigraph.springernature.com/things/product-market-codes/M21022
700	1		_aCarlen, Eric A. _eauthor. _4aut _4http://id.loc.gov/vocabulary/relators/aut
700	1		_aMielke, Alexander. _eauthor. _4aut _4http://id.loc.gov/vocabulary/relators/aut
700	1		_aVillani, Cédric. _eauthor. _4aut _4http://id.loc.gov/vocabulary/relators/aut
710	2		_aSpringerLink (Online service)
773	0		_tSpringer eBooks
776	0	8	_iPrinted edition: _z9783642217180
776	0	8	_iPrinted edition: _z9783642218620
830		0	_aC.I.M.E. Foundation Subseries ; _v2028
856	4	0	_uhttps://doi.org/10.1007/978-3-642-21861-3
912			_aZDB-2-SMA
912			_aZDB-2-LNM
999			_c10538 _d10538