C.I.M.E. Foundation Subseries

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

Authors: Ambrosio, L., Caffarelli, L.A., Crandall, M.G., Evans, L.C., Fusco, N.

Editors: Dacorogna, Bernard, Marcellini, Paolo (Eds.)

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eBook $54.99
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  • ISBN 978-3-540-75914-0
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Softcover $69.95
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  • ISBN 978-3-540-75913-3
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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.

Table of contents (6 chapters)

  • Transport Equation and Cauchy Problem for Non-Smooth Vector Fields

    Ambrosio, Luigi

    Pages 1-41

  • Issues in Homogenization for Problems with Non Divergence Structure

    Caffarelli, Luis (et al.)

    Pages 43-74

  • A Visit with the ∞-Laplace Equation

    Crandall, Michael G.

    Pages 75-122

  • Weak KAM Theory and Partial Differential Equations

    Evans, Lawrence C.

    Pages 123-154

  • Geometrical Aspects of Symmetrization

    Fusco, Nicola

    Pages 155-181

Buy this book

eBook $54.99
price for USA (gross)
  • ISBN 978-3-540-75914-0
  • Digitally watermarked, DRM-free
  • Included format: PDF
  • ebooks can be used on all reading devices
  • Immediate eBook download after purchase
Softcover $69.95
price for USA
  • ISBN 978-3-540-75913-3
  • Free shipping for individuals worldwide
  • Usually dispatched within 3 to 5 business days.
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Bibliographic Information

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
Editors
  • Bernard Dacorogna
  • Paolo Marcellini
Series Title
C.I.M.E. Foundation Subseries
Series Volume
1927
Copyright
2008
Publisher
Springer-Verlag Berlin Heidelberg
Copyright Holder
Springer-Verlag Berlin Heidelberg
eBook ISBN
978-3-540-75914-0
DOI
10.1007/978-3-540-75914-0
Softcover ISBN
978-3-540-75913-3
Edition Number
1
Number of Pages
XI, 206
Topics