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On the Korteweg — de Vries Equation and KAM Theory

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Geometric Analysis and Nonlinear Partial Differential Equations

Abstract

In this note we give an overview of results concerning the Korteweg-de Vries equation

$$ {\text{u}}_t {\text{ = - u}}_{xxx} {\text{ + 6uu}}_x $$

and small perturbations of it. All the technical details will be contained in our forthcoming book [27].

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Author information

Authors and Affiliations

  1. Institut für Mathematik, Universität Zürich, Winterthurerstrasse 190, CH-8057, Zürich, Germany

    Thomas Kappeler

  2. Mathematisches Institut A, Universität Stuttgart, Pfaffenwaldring 57, D-70569, Stuttgart, Germany

    Jürgen Pöschel

Authors
  1. Thomas Kappeler
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  2. Jürgen Pöschel
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Editors and Affiliations

  1. Department of Mathematics, University of Bonn, Beringstraße 1, 53115, Bonn, Germany

    Stefan Hildebrandt  & Hermann Karcher  & 

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Kappeler, T., Pöschel, J. (2003). On the Korteweg — de Vries Equation and KAM Theory. In: Hildebrandt, S., Karcher, H. (eds) Geometric Analysis and Nonlinear Partial Differential Equations. Springer, Berlin, Heidelberg. https://doi.org/10.1007/978-3-642-55627-2_20

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  • DOI: https://doi.org/10.1007/978-3-642-55627-2_20

  • Publisher Name: Springer, Berlin, Heidelberg

  • Print ISBN: 978-3-540-44051-2

  • Online ISBN: 978-3-642-55627-2

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