| 书目名称 | Nearly Integrable Infinite-Dimensional Hamiltonian Systems |
| 编辑 | Sergej B. Kuksin |
| 视频video | |
| 丛书名称 | Lecture Notes in Mathematics |
| 图书封面 |  |
| 描述 | 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 equation that are quasiperiodicin time mostly persist in the perturbed one. The theoremisapplied to classical nonlinear PDE‘s with one-dimensionalspacevariable 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 beobtained by other techniques. Thebook will thus be of interest tomathematicians 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. |
| 出版日期 | Book 1993 |
| 关键词 | Hamiltonian System; KAM-theory; differential equation; infinite-dimensional; integrable systems; partial |
| 版次 | 1 |
| doi | https://doi.org/10.1007/BFb0092243 |
| isbn_softcover | 978-3-540-57161-2 |
| isbn_ebook | 978-3-540-47920-8Series ISSN 0075-8434 Series E-ISSN 1617-9692 |
| issn_series | 0075-8434 |
| copyright | Springer-Verlag Berlin Heidelberg 1993 |
发表于 2025-3-21 19:38:58
