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Nearly Integrable Infinite-Dimensional Hamiltonian Systems by Sergej B. Kuksin at Abbey's Bookshop,
Nearly Integrable Infinite-Dimensional Hamiltonian Systems
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Sergej B. Kuksin

Nearly Integrable Infinite-Dimensional Hamiltonian Systems

Sergej B. Kuksin

$56.95   $48.67

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English
Springer-Verlag Berlin and Heidelberg GmbH & Co. K
03 November 1993
Differential calculus & equations; Analytic topology
Series: Lecture Notes in Mathematics
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 and show 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 extensive summary of the results and of related topics is provided in the Introduction. All the nontraditional material used is discussed in the first part of the book and in five appendices.
By:  
Imprint:   Springer-Verlag Berlin and Heidelberg GmbH & Co. K
Country of Publication:   Germany
Edition:   1993 ed.
Volume:   1556
Dimensions:   Height: 235mm,  Width: 155mm,  Spine: 7mm
Weight:   454g
ISBN:   9783540571612
ISBN 10:   3540571612
Series:   Lecture Notes in Mathematics
Pages:   104
Publication Date:  
Audience:   College/higher education ,  Professional and scholarly ,  Further / Higher Education ,  Undergraduate
Format:   Paperback
Publisher's Status:   Active
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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