Download Nonlinear PDE’s and Applications: C.I.M.E. Summer School, by Stefano Bianchini,Eric A. Carlen,Alexander Mielke,Cédric PDF

By Stefano Bianchini,Eric A. Carlen,Alexander Mielke,Cédric Villani

This quantity collects the notes of the CIME direction "Nonlinear PDE’s and purposes" held in Cetraro (Italy) on June 23–28, 2008. It involves 4 sequence of lectures, added by means of Stefano Bianchini (SISSA, Trieste), Eric A. Carlen (Rutgers University), Alexander Mielke (WIAS, Berlin), and Cédric Villani (Ecole Normale Superieure de Lyon).
They provided a vast evaluation of far-reaching findings and intriguing new advancements pertaining to, specifically, optimum shipping conception, nonlinear evolution equations, sensible inequalities, and differential geometry. A sampling of the most subject matters thought of right here contains optimum delivery, Hamilton-Jacobi equations, Riemannian geometry, and their hyperlinks with sharp geometric/functional inequalities, variational equipment for learning nonlinear evolution equations and their scaling homes, and the metric/energetic conception of gradient flows and of rate-independent evolution problems.
The ebook explores the basic connections among all of those subject matters and issues to new learn instructions in contributions through best specialists in those fields.

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