The Resource Analysis of Hamiltonian PDEs, Sergei B. Kuksin

Analysis of Hamiltonian PDEs, Sergei B. Kuksin

Label
Analysis of Hamiltonian PDEs
Title
Analysis of Hamiltonian PDEs
Statement of responsibility
Sergei B. Kuksin
Creator
Subject
Language
eng
Summary
"For the last 20-30 years, interest among mathematicians and physicists in infinite-dimensional Hamiltonian systems and Hamiltonian partial differential equations has been growing strongly, and many papers and a number of books have been written on integrable Hamiltonian PDEs. During the last decade though, the interest has shifted steadily towards non-integrable Hamiltonian PDEs. Here, not algebra but analysis and symplectic geometry are the appropriate analysing tools. The present book is the first one to use this approach to Hamiltonian PDEs and will be an invaluable source of information for postgraduate mathematics and physics students and researchers."--BOOK JACKET
Member of
Cataloging source
UKM
http://library.link/vocab/creatorDate
1955-
http://library.link/vocab/creatorName
Kuksin, Sergej B.
Illustrations
illustrations
Index
index present
LC call number
  • QC174.17.H3
  • QA614.83
LC item number
  • K85 2000
  • .K858 2000
Literary form
non fiction
Nature of contents
bibliography
http://library.link/vocab/subjectName
  • Hamiltonian operator
  • Differential equations, Partial
  • Hamilton-Gleichungen
  • Hamiltonian systems
  • Differential equations, Partial
  • Hamiltonian operator
Label
Analysis of Hamiltonian PDEs, Sergei B. Kuksin
Instantiates
Publication
Bibliography note
Includes bibliographical references (p. [206]-210) and index
Contents
  • Examples
  • Proof of theorem 8.3 on parameter-depending equations
  • Linearized equations
  • First-order linear differential equations on the n-torus
  • Addendum.
  • The theorem of A.N. Kolmogorov
  • Some analysis in Hilbert spaces and scales
  • Integrable subsystems of Hamiltonian equations and Lax-integrable equations
  • Finite-gap manifolds for the KdV equation and theta formulas
  • The Sine-Gordon equation
  • Linearized equations and their Floquet solutions
  • Linearized Lax-integrable equations
  • The normal form
  • A KAM theorem for perturbed non-linear equations
Dimensions
24 cm.
Extent
xii, 212 p.
Isbn
9780198503958
Isbn Type
(acid-free paper : Hbk)
Lccn
2001274506
Other physical details
ill.
System control number
  • (OCoLC)44153330
  • (OCoLC)ocm44153330
Label
Analysis of Hamiltonian PDEs, Sergei B. Kuksin
Publication
Bibliography note
Includes bibliographical references (p. [206]-210) and index
Contents
  • Examples
  • Proof of theorem 8.3 on parameter-depending equations
  • Linearized equations
  • First-order linear differential equations on the n-torus
  • Addendum.
  • The theorem of A.N. Kolmogorov
  • Some analysis in Hilbert spaces and scales
  • Integrable subsystems of Hamiltonian equations and Lax-integrable equations
  • Finite-gap manifolds for the KdV equation and theta formulas
  • The Sine-Gordon equation
  • Linearized equations and their Floquet solutions
  • Linearized Lax-integrable equations
  • The normal form
  • A KAM theorem for perturbed non-linear equations
Dimensions
24 cm.
Extent
xii, 212 p.
Isbn
9780198503958
Isbn Type
(acid-free paper : Hbk)
Lccn
2001274506
Other physical details
ill.
System control number
  • (OCoLC)44153330
  • (OCoLC)ocm44153330

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