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First European Congress of Mathematics Paris, July 6–10, 1992 pp 123–157Cite as

KAM-Theory for Partial Differential Equations

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Part of the book series: Progress in Mathematics ((PM,volume 120))

Abstract

The paper is devoted to nonlinear partial differential equations (PDEs) of a Hamiltonian form having a one-dimensional space variable x. The equations are close to integrable Hamiltonian equations, that is, close to linear PDEs or to one of the “theta-integrable” PDEs (Korteweg-de Vries equation, Sine-Gordon equation, etc.). We treat these equations as infinite-dimensional Hamiltonian systems (i.e., systems with a phase-space equal to an infinite-dimensional function space of x-dependent functions).

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Authors and Affiliations

  1. IPPI, Ermolovoy St. 19, 101447, Moscow, Russia

    S. B. Kuksin

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  1. S. B. Kuksin
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Editor information

Editors and Affiliations

  1. Laboratoire de Mathématiques Fondamentales, Université Pierre et Marie Curie, 4, place Jussieu, 75252, Paris Cedex 05, France

    Anthony Joseph  & Rudolf Rentschler  & 

  2. The Weizmann Institute of Science, Rehovot, 76100, Israel

    Anthony Joseph

  3. Mathématiques, Université de Paris-Sud, Bâtiment 425, 91405, Orsay Cedex, France

    Fulbert Mignot

  4. Laboratoire d’Analyse Numérique, Université Pierre et Marie Curie, 4, place Jussieu, 75252, Paris Cedex 05, France

    François Murat

  5. Laboratoire de Statistique Médicale, Université Paris V, 45, rue des Saints Pères, 75270, Paris Cedex 06, France

    Bernard Prum

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© 1994 Birkhäuser Verlag

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Kuksin, S.B. (1994). KAM-Theory for Partial Differential Equations. In: Joseph, A., Mignot, F., Murat, F., Prum, B., Rentschler, R. (eds) First European Congress of Mathematics Paris, July 6–10, 1992. Progress in Mathematics, vol 120. Birkhäuser Basel. https://doi.org/10.1007/978-3-0348-9112-7_6

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  • DOI: https://doi.org/10.1007/978-3-0348-9112-7_6

  • Publisher Name: Birkhäuser Basel

  • Print ISBN: 978-3-0348-9912-3

  • Online ISBN: 978-3-0348-9112-7

  • eBook Packages: Springer Book Archive

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