Nonlinear PDE's and applications C.I.M.E. Summer School, Cetraro, Italy, 2008 /
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, Berli...
| Other Authors: | Bianchini, S., Ambrosio, Luigi., Savaré, Giuseppe., Centro internazionale matematico estivo., C.I.M.E. Summer School |
|---|---|
| Format: | eBook |
| Language: | English |
| Published: |
Heidelberg ; New York :
Springer,
©2011.
Heidelberg ; New York : [2011] |
| Physical Description: |
1 online resource (xiii, 224 pages) : illustrations (some color). |
| Series: |
Lecture notes in mathematics (Springer-Verlag) ;
2028. |
| Subjects: |
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| 245 | 0 | 0 | |a Nonlinear PDE's and applications : |b C.I.M.E. Summer School, Cetraro, Italy, 2008 / |c Stefano Bianchini [and others] ; editors, Luigi Amrosio, Giuseppe Savaré. |
| 260 | |a Heidelberg ; |a New York : |b Springer, |c ©2011. | ||
| 264 | 1 | |a Heidelberg ; |a New York : |b Springer, |c [2011] | |
| 264 | 4 | |c ©2011. | |
| 300 | |a 1 online resource (xiii, 224 pages) : |b illustrations (some color). | ||
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| 490 | 1 | |a Lecture notes in mathematics, |x 0075-8434 ; |v 2028. | |
| 504 | |a Includes bibliographical references. | ||
| 588 | 0 | |a Print version record. | |
| 505 | 0 | |a 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. | |
| 520 | |a 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. | ||
| 650 | 0 | |a Differential equations, Partial |v Congresses. | |
| 650 | 0 | |a Differential equations, Nonlinear |v Congresses. | |
| 650 | 6 | |a Équations aux dérivées partielles |v Congrès. | |
| 650 | 6 | |a Équations différentielles non linéaires |v Congrès. | |
| 650 | 7 | |a Differential equations, Nonlinear. |2 fast. | |
| 650 | 7 | |a Differential equations, Partial. |2 fast. | |
| 653 | 1 | |a Nonlinear PDEs. | |
| 653 | 2 | |a CIME. | |
| 655 | 2 | |a Congress. | |
| 655 | 7 | |a proceedings (reports) |2 aat. | |
| 655 | 7 | |a Conference papers and proceedings. |2 fast. | |
| 655 | 7 | |a Conference papers and proceedings. |2 lcgft. | |
| 655 | 7 | |a Actes de congrès. |2 rvmgf. | |
| 700 | 1 | |a Bianchini, S. |q (Stefano) |1 https://id.oclc.org/worldcat/entity/E39PBJyWQQMdktPyD6ytCMj6Kd. | |
| 700 | 1 | |a Ambrosio, Luigi. | |
| 700 | 1 | |a Savaré, Giuseppe. | |
| 710 | 2 | |a Centro internazionale matematico estivo. | |
| 711 | 2 | |a C.I.M.E. Summer School |d (2008 : |c Cetraro, Italy) | |
| 773 | 0 | |t Springer e-books. | |
| 776 | 0 | 8 | |i Print version: |a Bianchini, S. (Stefano). |t Nonlinear PDE's and applications. |d Berlin : Springer, 2011 |w (DLC) 2011934805. |
| 830 | 0 | |a Lecture notes in mathematics (Springer-Verlag) ; |v 2028. | |
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