Nonlinear PDE’s and Applications C.I.M.E. Summer School, Cetraro, Italy 2008, Editors: Luigi Ambrosio, Giuseppe Savaré /

• Main Authors: Bianchini, Stefano (Author), Carlen, Eric A. (Author), Mielke, Alexander (Author), Villani, Cédric (Author)
• Corporate Author: SpringerLink (Online service)
• Format: Electronic eBook
• Language: English
• Published: Berlin, Heidelberg : Springer Berlin Heidelberg : Imprint: Springer, 2011.
• Series: Lecture Notes in Mathematics, 2028
• Subjects: Mathematics.; Mathematical analysis.; Analysis (Mathematics).; Functional analysis.; Partial differential equations.; Differential geometry.; Calculus of variations.; Analysis.; Partial Differential Equations.; Calculus of Variations and Optimal Control; Optimization.; Functional Analysis.; Differential Geometry.

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), a...

Table of Contents:

• 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.