
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
Springer (Publisher)
Published on 3. December 2007
Book
Paperback/Softback
XI, 206 pages
978-3-540-75913-3 (ISBN)
Description
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.
More details
Series
Edition
2008 ed.
Language
English
Place of publication
Berlin
Germany
Publishing group
Springer Berlin
Target group
Professional and scholarly
Research
Illustrations
XI, 206 p.
Dimensions
Height: 235 mm
Width: 155 mm
Thickness: 13 mm
Weight
341 gr
ISBN-13
978-3-540-75913-3 (9783540759133)
DOI
10.1007/978-3-540-75914-0
Schweitzer Classification
Persons
Prof. Luigi Ambrosio is a Professor of Mathematical Analysis, a former student of the Scuola Normale Superiore and presently its Rector. His research interests include calculus of variations, geometric measure theory, optimal transport and analysis in metric spaces. For his scientific achievements, he has been awarded several prizes, in particular the Fermat prize in 2003, the Balzan Prize in 2019, the Riemann Prize in 2023 and the Nemmers Prize in 2024.
Dr. Elia Bruè is an Associate Professor at Bocconi University, Milan, Italy. He earned his PhD from the Scuola Normale Superiore in 2020. His research interests lie in the fields of Geometric Analysis and Partial Differential Equations, with a focus on Ricci curvature, metric geometry, incompressible fluid mechanics, and passive scalars with rough velocity fields.
Dr. Daniele Semola is an Assistant Professor at the University of Vienna. He was a student in Mathematics at the Scuola Normale Superiore, where he earned his PhD degree in 2020. His research interests lie at the interface between geometric analysis and analysis on metric spaces, mainly with a focus on lower curvature bounds.
Author
Editor
Contributions
Content
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.