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Catalogue Information
Field name	Details
Dewey Class	515
Title	Nearly Integrable Infinite-Dimensional Hamiltonian Systems ([EBook]) / by Sergej B. Kuksin.
Author	Kuksin, Sergej Borisovich , 1955-
Other name(s)	SpringerLink (Online service)
Publication	Berlin, Heidelberg : Springer , 1993.
Physical Details	XXVIII, 104 pages : online resource.
Series	Lecture Notes in Mathematics 0075-8434 ; ; 1556
ISBN	9783540479208
Summary Note	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.:
Contents note	Symplectic structures and hamiltonian systems in scales of hilbert spaces -- Statement of the main theorem and its consequences -- Proof of the main theorem.
System details note	Online access to this digital book is restricted to subscription institutions through IP address (only for SISSA internal users)
Internet Site	http://dx.doi.org/10.1007/BFb0092243
Links to Related Works	Subject References: Analysis . Analysis (Mathematics) . Hamiltonian systems . Mathematical analysis . Schrödinger equation . Authors: Kuksin, Sergej Borisovich, 1955- . Kuksin, Sergej Borisovich 1955- . See Also: Kuksin, Sergei Borisovich 1955- . Kuksin, Sergei Borisovich 1955- . Corporate Authors: SpringerLink (Online service) . Series: Lecture Notes in Mathematics . Classification: 515 .

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Nearly Integrable Infinite-Dimensional Hamiltonian Systems

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