Nearly integrable infinite-dimensional Hamiltonian systems

＜図書＞
Nearly integrable infinite-dimensional Hamiltonian systems

責任表示	Sergej B. Kuksin
シリーズ	Lecture notes in mathematics ; 1556
データ種別	図書
出版情報	Berlin ; New York : Springer-Verlag , c1993
本文言語	英語
大きさ	xxvii, 101 p. ; 24 cm
概要	The book is devoted to partial differential equations ofHamiltonian form, close to integrable equations. For suchequations a KAM-like theorem is proved, stating thatsolutions of the unperturbed equat...on that are quasiperiodicin time mostly persist in the perturbed one. The theorem isapplied to classical nonlinear PDE's with one-dimensionalspace variable such as the nonlinear string and nonlinearSchr-dinger equation andshow that the equations have"regular" (=time-quasiperiodic and time-periodic) solutionsin rich supply.These results cannot be obtained by other techniques. Thebook will thus be of interest to mathematicians andphysicists working with nonlinear PDE's.An extensivesummary of the results and of related topics isprovided in the Introduction. All the nontraditionalmaterial used is discussed in the firstpart of the book andin five appendices. 続きを見る
電子版へのリンク	https://hdl.handle.net/2324/7018782

一般注記	Includes bibliographical references (p. 96-100) and index
著者標目	Kuksin, Sergej B., 1955-
件　名	LCSH:Hamiltonian systems LCSH:Schrödinger equation
分　類	LCC:QA614.83 DC20:514/.74 NDC8:410.8 NDC8:415.5
書誌ID	1000037522
ISBN	0387571612
NCID	BA2130594X
巻冊次	: us ; ISBN:0387571612 : gw ; ISBN:3540571612
登録日	2009.09.10
更新日	2017.02.18