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- Includes supplementary material: sn.pub/extras
Part of the book series: Lecture Notes in Mathematics (LNM, volume 1927)
Part of the book sub series: C.I.M.E. Foundation Subseries (LNMCIME)
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Table of contents (6 chapters)
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Front Matter
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Back Matter
About this book
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.
Authors, Editors and Affiliations
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Section de Mathématiques, Ecole Polytechnique Fédérale de Lausanne (EPFL), Switzerland
Bernard Dacorogna
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Dipartimento di Matematica, Università di Firenze, Italy
Paolo Marcellini
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Scuola Normale Superiore, Italy
Luigi Ambrosio
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Department of Mathematics, University of Texas at Austin, Austin, USA
Luis Caffarelli
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Department of Mathematics, University of California, Santa Barbara, USA
Michael G. Crandall
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Department of Mathematics, University of California, Berkeley, USA
Lawrence C. Evans
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Dipartimento di Matematica, Università degli Studi di Napoli, Via Cintia, Italy
Nicola Fusco
Bibliographic Information
Book Title: Calculus of Variations and Nonlinear Partial Differential Equations
Book Subtitle: Lectures given at the C.I.M.E. Summer School held in Cetraro, Italy, June 27 - July 2, 2005
Authors: Luigi Ambrosio, Luis Caffarelli, Michael G. Crandall, Lawrence C. Evans, Nicola Fusco
Editors: Bernard Dacorogna, Paolo Marcellini
Series Title: Lecture Notes in Mathematics
DOI: https://doi.org/10.1007/978-3-540-75914-0
Publisher: Springer Berlin, Heidelberg
eBook Packages: Mathematics and Statistics, Mathematics and Statistics (R0)
Copyright Information: Springer-Verlag Berlin Heidelberg 2008
Softcover ISBN: 978-3-540-75913-3Published: 03 December 2007
eBook ISBN: 978-3-540-75914-0Published: 10 December 2007
Series ISSN: 0075-8434
Series E-ISSN: 1617-9692
Edition Number: 1
Number of Pages: XI, 206
Topics: Calculus of Variations and Optimal Control; Optimization, Partial Differential Equations