| 000 | 02667nam a22004575i 4500 | ||
|---|---|---|---|
| 001 | 978-3-540-47920-8 | ||
| 003 | DE-He213 | ||
| 005 | 20190213151710.0 | ||
| 007 | cr nn 008mamaa | ||
| 008 | 130109s1993 gw | s |||| 0|eng d | ||
| 020 |
_a9783540479208 _9978-3-540-47920-8 |
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| 024 | 7 |
_a10.1007/BFb0092243 _2doi |
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| 050 | 4 | _aQA299.6-433 | |
| 072 | 7 |
_aPBK _2bicssc |
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| 072 | 7 |
_aMAT034000 _2bisacsh |
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| 072 | 7 |
_aPBK _2thema |
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| 082 | 0 | 4 |
_a515 _223 |
| 100 | 1 |
_aKuksin, Sergej B. _eauthor. _4aut _4http://id.loc.gov/vocabulary/relators/aut |
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| 245 | 1 | 0 |
_aNearly Integrable Infinite-Dimensional Hamiltonian Systems _h[electronic resource] / _cby Sergej B. Kuksin. |
| 264 | 1 |
_aBerlin, Heidelberg : _bSpringer Berlin Heidelberg : _bImprint: Springer, _c1993. |
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| 300 |
_aXXVIII, 104 p. _bonline resource. |
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| 336 |
_atext _btxt _2rdacontent |
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| 337 |
_acomputer _bc _2rdamedia |
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| 338 |
_aonline resource _bcr _2rdacarrier |
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| 347 |
_atext file _bPDF _2rda |
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| 490 | 1 |
_aLecture Notes in Mathematics, _x0075-8434 ; _v1556 |
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| 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 | _aGlobal analysis (Mathematics). | |
| 650 | 1 | 4 |
_aAnalysis. _0http://scigraph.springernature.com/things/product-market-codes/M12007 |
| 710 | 2 | _aSpringerLink (Online service) | |
| 773 | 0 | _tSpringer eBooks | |
| 776 | 0 | 8 |
_iPrinted edition: _z9783662190838 |
| 776 | 0 | 8 |
_iPrinted edition: _z9783540571612 |
| 830 | 0 |
_aLecture Notes in Mathematics, _x0075-8434 ; _v1556 |
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| 856 | 4 | 0 | _uhttps://doi.org/10.1007/BFb0092243 |
| 912 | _aZDB-2-SMA | ||
| 912 | _aZDB-2-LNM | ||
| 912 | _aZDB-2-BAE | ||
| 999 |
_c11583 _d11583 |
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