Nearly Integrable Infinite-Dimensional Hamiltonian Systems

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...

Ausführliche Beschreibung

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Bibliographische Detailangaben
1. Verfasser: Kuksin, Sergej B., 1955-...., mathématicien
Format: Livre numérique
Sprache:Anglais
Veröffentlicht: Berlin [etc.] : Springer [20..].
Cham : Springer Nature
Schriftenreihe:Lecture notes in mathematics 1556
Schlagworte:
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Edition sous un autre format:• Nearly integrable infinite-dimensional Hamiltonian systems, Sergej B. Kuksin, Berlin, Springer-Verlag, 1993, 1 vol. (XXVII-101 p.), Lecture notes in mathematics, 0-387-57161-2
• Nearly Integrable Infinite-Dimensional Hamiltonian Systems, Texte imprimé, 9783662190838
Inhaltsangabe:
  • Symplectic structures and hamiltonian systems in scales of hilbert spaces
  • Statement of the main theorem and its consequences
  • Proof of the main theorem.