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  • Open Daily: 10am - 10pm
    Alley-side Pickup: 10am - 7pm

    3038 Hennepin Ave Minneapolis, MN
    612-822-4611

Open Daily: 10am - 10pm | Alley-side Pickup: 10am - 7pm
3038 Hennepin Ave Minneapolis, MN
612-822-4611
Nearly Integrable Infinite-Dimensional Hamiltonian Systems

Nearly Integrable Infinite-Dimensional Hamiltonian Systems

Kuksin, Sergej B.

Paperback

Series: Lecture Notes in Mathematics, Book 1556

General Mathematics

ISBN10: 3540571612
ISBN13: 9783540571612
Publisher: Springer
Published: Nov 3 1993
Pages: 104
Weight: 0.43
Height: 0.28 Width: 6.14 Depth: 9.21
Language: English
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 Schrdinger 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.

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