Analysis of Hamiltonian PDEs /

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Bibliographic Details
Author / Creator:Kuksin, Sergej B., 1955-
Imprint:Oxford ; New York : Oxford University Press, 2000.
Description:xii, 212 p. : ill. ; 24 cm.
Language:English
Series:Oxford lecture series in mathematics and its applications 19
Subject:
Format: Print Book
URL for this record:http://pi.lib.uchicago.edu/1001/cat/bib/4379822
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ISBN:0198503954 (acid-free paper : Hbk)
Notes:Includes bibliographical references (p. [206]-210) and index.
Table of Contents:
  • PrefaceNotations
  • I. Unperturbed equations
  • 1. Some analysis in Hilbert spaces and scales
  • 2. Integrable subsystems and Lax-integrable equations
  • 3. Finite-gap manifolds for the KdV equation and theta-formulas
  • 4. Sine-Gordon equation
  • 5. Linearised equations and their Floquet solutions
  • 6. Linearised Lax-integrable equations
  • 7. Normal forms
  • II. Perturbed equations
  • 1. A KAM theorem for perturbed nonlinear equations
  • 2. Examples
  • 3. Proof of KAM-theorem on parameter-depending equations
  • 4. Linearised equations
  • 5. First-order linear differential equations on n-torus
  • Addendum: The theorem of A.N. Kolmogorov
  • Index
  • Bibliography