Skip to main content
SpringerLink
Log in
Book cover

Nearly Integrable Infinite-Dimensional Hamiltonian Systems

  • Book
  • © 1993

Overview

Authors:
  1. Sergej B. Kuksin
    View author publications

    You can also search for this author in PubMed   Google Scholar

Part of the book series: Lecture Notes in Mathematics (LNM, volume 1556)

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

Access this book

Log in via an institution
eBook USD 29.99
Price excludes VAT (USA)
  • Available as PDF
  • Read on any device
  • Instant download
  • Own it forever
Softcover Book USD 39.99
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

Licence this eBook for your library

Institutional subscriptions

Table of contents (3 chapters)

  1. Front Matter

    Pages i-xxvii
    Download chapter PDF

  2. Symplectic structures and hamiltonian systems in scales of hilbert spaces

    • Sergej B. Kuksin
    Pages 1-12

  3. Statement of the main theorem and its consequences

    • Sergej B. Kuksin
    Pages 13-44

  4. Proof of the main theorem

    • Sergej B. Kuksin
    Pages 45-90

  5. Back Matter

    Pages 91-101
    Download chapter PDF
Back to top

Keywords

About this book

The book is devoted to partial differential equations of Hamiltonian form, close to integrable equations. For such equations a KAM-like theorem is proved, stating that solutions of the unperturbed equation that are quasiperiodic in time mostly persist in the perturbed one. The theorem is applied to classical nonlinear PDE's with one-dimensional space variable such as the nonlinear string and nonlinear Schr|dinger equation andshow that the equations have "regular" (=time-quasiperiodic and time-periodic) solutions in rich supply. These results cannot be obtained by other techniques. The book will thus be of interest to mathematicians and physicists working with nonlinear PDE's. An extensivesummary of the results and of related topics is provided in the Introduction. All the nontraditional material used is discussed in the firstpart of the book and in five appendices.

Bibliographic Information

  • Book Title: Nearly Integrable Infinite-Dimensional Hamiltonian Systems

  • Authors: Sergej B. Kuksin

  • Series Title: Lecture Notes in Mathematics

  • DOI: https://doi.org/10.1007/BFb0092243

  • Publisher: Springer Berlin, Heidelberg

  • eBook Packages: Springer Book Archive

  • Copyright Information: Springer-Verlag Berlin Heidelberg 1993

  • Softcover ISBN: 978-3-540-57161-2Published: 03 November 1993

  • eBook ISBN: 978-3-540-47920-8Published: 15 November 2006

  • Series ISSN: 0075-8434

  • Series E-ISSN: 1617-9692

  • Edition Number: 1

  • Number of Pages: XXVIII, 104

  • Topics: Analysis

Publish with us

Policies and ethics

Back to top

Search

Navigation