Calculus of Variations and Nonlinear Partial Differential Equations

Lectures given at the C.I.M.E. Summer School held in Cetraro, Italy, June 27 - July 2, 2005
2008
ISBN: 978-3-540-75913-3
Verlag: Springer Berlin Heidelberg

Buch, Englisch, 206 Seiten, Format (B × H): 155 mm x 235 mm, Gewicht: 341 g

Reihe: C.I.M.E. Foundation Subseries

This volume provides the texts of lectures given by L. Ambrosio, L. Caffarelli, M. Crandall, L.C. Evans, N. Fusco at the Summer course held in Cetraro, Italy in 2005. These are introductory reports on current research by world leaders in the fields of calculus of variations and partial differential equations. Coverage includes transport equations for nonsmooth vector fields, viscosity methods for the infinite Laplacian, and geometrical aspects of symmetrization.

Zielgruppe

Research

Autoren/Hrsg.

Ambrosio, Luigi

Caffarelli, Luis A.

Evans, Lawrence C.

Crandall, Michael G.

Fusco, Nicola

Dacorogna, Bernard

Marcellini, Paolo

Weitere Mitwirkende

Mascolo, E.

Fachgebiete

• Mathematik | Informatik Mathematik Operations Research Spieltheorie
• Mathematik | Informatik Mathematik Mathematische Analysis Differentialrechnungen und -gleichungen
• Mathematik | Informatik Mathematik Mathematische Analysis Variationsrechnung

Inhaltsverzeichnis

Transport Equation and Cauchy Problem for Non-Smooth Vector Fields.- Issues in Homogenization for Problems with Non Divergence Structure.- A Visit with the ?-Laplace Equation.- Weak KAM Theory and Partial Differential Equations.- Geometrical Aspects of Symmetrization.- CIME Courses on Partial Differential Equations and Calculus of Variations.