Nearly integrable infinite-dimensional Hamiltonian systems /

Kuksin, Sergej B., 1955-

Nearly integrable infinite-dimensional Hamiltonian systems / Sergej B. Kuksin. - Berlin ; New York : Springer-Verlag, ©1993. - 1 online resource (xxvii, 101 pages) - Lecture notes in mathematics, 1556 0075-8434 ; . - Lecture notes in mathematics (Springer-Verlag) ; 1556. .

Includes bibliographical references (pages 96-100) and index.

Symplectic structures and hamiltonian systems in scales of hilbert spaces -- Statement of the main theorem and its consequences -- Proof of the main theorem.

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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.

Electronic reproduction.
[Place of publication not identified] :
HathiTrust Digital Library,

Master and use copy. Digital master created according to Benchmark for Faithful Digital Reproductions of Monographs and Serials, Version 1. Digital Library Federation, December 2002.

9783540479208 3540479201

Hamiltonian systems.
Schrödinger equation.
Systèmes hamiltoniens.
Équation de Schrödinger.
Hamiltonian systems.
Schrödinger equation.
Globale analyse.
Integrables System
Hamiltonsches System
Unendlichdimensionales System
Systèmes hamiltoniens.
Schrödinger, Équation de.

Electronic books.

QA614.83 / .K85 1993 QA3 / .L28 no. 1556


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