Luigi Ambrosio, Luis A. Caffarelli, Lawrence C. Evans, Michael G. Crandall, Nicola Fusco

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
Herausgegeben:Dacorogna, Bernard; Marcellini, Paolo

• Broschiertes Buch

Produktbeschreibung

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. The topics discussed are transport equations for nonsmooth vector fields, homogenization, viscosity methods for the infinite Laplacian, weak KAM theory and geometrical aspects of symmetrization. A historical overview of all CIME courses on the calculus of variations and partial differential equations is contributed by Elvira Mascolo.

Produktdetails

• Lecture Notes in Mathematics 1927
• Verlag: Springer / Springer Berlin Heidelberg / Springer, Berlin
• Artikelnr. des Verlages: 12179190, 978-3-540-75913-3
• 2008
• Seitenzahl: 220
• Erscheinungstermin: 3. Dezember 2007
• Englisch
• Abmessung: 235mm x 155mm x 13mm
• Gewicht: 341g
• ISBN-13: 9783540759133
• ISBN-10: 3540759131
• Artikelnr.: 23170975

Autorenporträt

Luigi Ambrosio, Scuola Normale Superiore, Pisa, Italy / Luis Caffarelli, University of Texas at Austin, TX, USA / Michael G. Crandall, University of California, Santa Barbara, CA, USA / Lawrence C. Evans, University of California, Berkeley, CA, USA / Nicola Fusco, Università di Napoli, Italia

Inhaltsangabe

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.