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Nonlinear PDE’s and Applications [recurso electrónico] : C.I.M.E. Summer School, Cetraro, Italy 2008, Editors: Luigi Ambrosio, Giuseppe Savaré / by Stefano Bianchini, Eric A. Carlen, Alexander Mielke, Cédric Villani.

Por: Bianchini, Stefano [author.]Colaborador(es): Carlen, Eric A [author.] | Mielke, Alexander [author.] | Villani, Cédric [author.] | SpringerLink (Online service)Tipo de material: Texto

TextoSeries Lecture Notes in Mathematics ; 2028Editor: Berlin, Heidelberg : Springer Berlin Heidelberg : Imprint: Springer, 2011Descripción: XIII, 224 p. 8 illus., 7 illus. in color. online resourceTipo de contenido: text Tipo de medio: computer Tipo de portador: online resourceISBN: 9783642218613Tema(s): Mathematics | Global analysis (Mathematics) | Functional analysis | Differential equations, partial | Global differential geometry | Mathematical optimization | Mathematics | Analysis | Partial Differential Equations | Calculus of Variations and Optimal Control; Optimization | Functional Analysis | Differential GeometryFormatos físicos adicionales: Printed edition:: Sin títuloClasificación CDD: 515 Clasificación LoC:QA299.6-433Recursos en línea: Libro electrónico Texto

Contenidos:

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.

En: Springer eBooksResumen: 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.

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Notas de título ( 3 )

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Libro Electrónico	Biblioteca Electrónica	Colección de Libros Electrónicos	QA299.6 -433 (Browse shelf(Abre debajo))	1	No para préstamo		376377-2001

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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.