| Nonlinear Pde's and Applications: C.I.M.E. Summer School, Cetraro, Italy 2008, Editors: Luigi Ambrosio, Giuseppe Savaré Contributor(s): Bianchini, Stefano (Author), Carlen, Eric A. (Author), Mielke, Alexander (Author) |
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ISBN: 3642217184 ISBN-13: 9783642217180 Publisher: Springer OUR PRICE: $56.95 Product Type: Paperback - Other Formats Published: July 2011 |
| Additional Information |
| BISAC Categories: - Mathematics | Calculus - Mathematics | Differential Equations - General - Mathematics | Geometry - Differential |
| Dewey: 515.353 |
| Series: Lecture Notes in Mathematics: CIME Foundation |
| Physical Information: 0.4" H x 6.1" W x 8.9" (0.50 lbs) 224 pages |
| Descriptions, Reviews, Etc. |
| Publisher Description: 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 C dric 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. |
