Skip to main content
SpringerLink
Log in
Book cover
  • Book
  • © 2011

Nonlinear PDE’s and Applications

C.I.M.E. Summer School, Cetraro, Italy 2008, Editors: Luigi Ambrosio, Giuseppe Savaré

Authors:

  1. Stefano Bianchini

    1. SISSA-ISAS, Trieste, Italy

    View author publications

    You can also search for this author in PubMed   Google Scholar

  2. Eric A. Carlen

    1. Department of Mathematics, Hill Center, Rutgers University, Piscataway, USA

    View author publications

    You can also search for this author in PubMed   Google Scholar

  3. Alexander Mielke

    1. Analysis und Stochastik (WIAS), Weierstraß-Institut für Angewandte, Berlin, Germany

    View author publications

    You can also search for this author in PubMed   Google Scholar

  4. Cédric Villani

    1. Institut Henri Poincaré, Paris, Cedex 05, USA

    View author publications

    You can also search for this author in PubMed   Google Scholar

  • A broad overview on some deep results and new exciting developments
  • Contribution of leading experts
  • Accessible introduction to new theories and results

Part of the book series: Lecture Notes in Mathematics (LNM, volume 2028)

Part of the book sub series: C.I.M.E. Foundation Subseries (LNMCIME)

Sections

Buy it now

eBook USD 44.99
Price excludes VAT (USA)
  • Available as PDF
  • Read on any device
  • Instant download
  • Own it forever
Softcover Book USD 59.95
Price excludes VAT (USA)
  • Compact, lightweight edition
  • Dispatched in 3 to 5 business days
  • Free shipping worldwide - see info

Tax calculation will be finalised at checkout

Other ways to access

This is a preview of subscription content, log in via an institution to check for access.

Table of contents (4 chapters)

  1. Front Matter

    Pages i-xiii
    PDF

  2. Transport Rays and Applications to Hamilton–Jacobi Equations

    • Stefano Bianchini, Matteo Gloyer
    Pages 1-15

  3. Functional Inequalities and Dynamics

    • Eric A. Carlen
    Pages 17-85

  5. Optimal Transport and Curvature

    • Alessio Figalli, Cédric Villani
    Pages 171-217

  6. Back Matter

    Pages 219-224
    PDF
Back to top

About this book

This volume collects the notes of the CIME course "Nonlinear PDE’s and applications" held in Cetraro (Italy) on June 23–28, 2008. It consists of four series of lectures, delivered by Stefano Bianchini (SISSA, Trieste), Eric A. Carlen (Rutgers University), Alexander Mielke (WIAS, Berlin), and Cédric Villani (Ecole Normale Superieure de Lyon). They presented a broad overview of far-reaching findings and exciting new developments concerning, in particular, optimal transport theory, nonlinear evolution equations, functional inequalities, and differential geometry. A sampling of the main topics considered here includes optimal transport, Hamilton-Jacobi equations, Riemannian geometry, and their links with sharp geometric/functional inequalities, variational methods for studying nonlinear evolution equations and their scaling properties, and the metric/energetic theory of gradient flows and of rate-independent evolution problems. The book explores the fundamental connections between all of these topics and points to new research directions in contributions by leading experts in these fields.
Back to top

Keywords

Back to top

Authors and Affiliations

  • SISSA-ISAS, Trieste, Italy

    Stefano Bianchini

  • Department of Mathematics, Hill Center, Rutgers University, Piscataway, USA

    Eric A. Carlen

  • Analysis und Stochastik (WIAS), Weierstraß-Institut für Angewandte, Berlin, Germany

    Alexander Mielke

  • Institut Henri Poincaré, Paris, Cedex 05, USA

    Cédric Villani

Back to top

Bibliographic Information

Back to top

Publish with us

Policies and ethics

Back to top
Access via your institution

Buy it now

eBook USD 44.99
Price excludes VAT (USA)
  • Available as PDF
  • Read on any device
  • Instant download
  • Own it forever
Softcover Book USD 59.95
Price excludes VAT (USA)
  • Compact, lightweight edition
  • Dispatched in 3 to 5 business days
  • Free shipping worldwide - see info

Tax calculation will be finalised at checkout

Other ways to access

Search

Navigation