000 02561nam a22004575i 4500
001 978-3-540-47920-8
003 DE-He213
005 20160624101828.0
007 cr nn 008mamaa
008 130109s1993 gw | s |||| 0|eng d
020 _a9783540479208
_9978-3-540-47920-8
024 7 _a10.1007/BFb0092243
_2doi
050 4 _aQA299.6-433
072 7 _aPBK
_2bicssc
072 7 _aMAT034000
_2bisacsh
082 0 4 _a515
_223
100 1 _aKuksin, Sergej B.
_eauthor.
245 1 0 _aNearly Integrable Infinite-Dimensional Hamiltonian Systems
_h[electronic resource] /
_cby Sergej B. Kuksin.
260 1 _aBerlin, Heidelberg :
_bSpringer Berlin Heidelberg,
_c1993.
264 1 _aBerlin, Heidelberg :
_bSpringer Berlin Heidelberg,
_c1993.
300 _aXXVIII, 104 p.
_bonline resource.
336 _atext
_btxt
_2rdacontent
337 _acomputer
_bc
_2rdamedia
338 _aonline resource
_bcr
_2rdacarrier
347 _atext file
_bPDF
_2rda
490 1 _aLecture Notes in Mathematics,
_x0075-8434 ;
_v1556
505 0 _aSymplectic structures and hamiltonian systems in scales of hilbert spaces -- Statement of the main theorem and its consequences -- Proof of the main theorem.
520 _aThe 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.
650 0 _aMathematics.
650 0 _aGlobal analysis (Mathematics).
650 1 4 _aMathematics.
650 2 4 _aAnalysis.
710 2 _aSpringerLink (Online service)
773 0 _tSpringer eBooks
776 0 8 _iPrinted edition:
_z9783540571612
786 _dSpringer
830 0 _aLecture Notes in Mathematics,
_x0075-8434 ;
_v1556
856 4 0 _uhttp://dx.doi.org/10.1007/BFb0092243
942 _2EBK1643
_cEBK
999 _c30937
_d30937