Nearly Integrable Infinite-Dimensional Hamiltonian Systems
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...
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| Autor Principal: | |
|---|---|
| Formato: | Livre numérique |
| Idioma: | Anglais |
| Publicado: |
Berlin [etc.] :
Springer
[20..].
Cham : Springer Nature |
| Series: | Lecture notes in mathematics
1556 |
| Sujets: | |
| Acceso en liña: | Accès sur la plateforme de l'éditeur Accès sur la plateforme Istex Accès Université d'Orléans Accès INSA CVL |
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Archives Springer e-books (Licence nationale) Archives Springer e-books (Licence nationale) |
| Autres localisations: | Voir dans le Sudoc |
| Edition sous un autre format: | • Nearly integrable infinite-dimensional Hamiltonian systems, Sergej B. Kuksin, Berlin, Springer-Verlag, 1993, 1 vol. (XXVII-101 p.), Lecture notes in mathematics, 0-387-57161-2 • Nearly Integrable Infinite-Dimensional Hamiltonian Systems, Texte imprimé, 9783662190838 |
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| 100 | 1 | |a Kuksin, Sergej B., |d 1955-...., |c mathématicien. | |
| 245 | 1 | 0 | |a Nearly Integrable Infinite-Dimensional Hamiltonian Systems |c Sergej B. Kuksin. |
| 260 | |a Berlin [etc.] : |b Springer. | ||
| 260 | |a Cham : |b Springer Nature, |c [20..]. | ||
| 490 | 0 | |a Lecture notes in mathematics |v 1556 |x 1617-9692 | |
| 500 | |a Archives Springer e-books (Licence nationale) | ||
| 500 | |a Archives Springer e-books (Licence nationale) | ||
| 505 | 0 | |a Symplectic structures and hamiltonian systems in scales of hilbert spaces -- Statement of the main theorem and its consequences -- Proof of the main theorem. | |
| 506 | |a Accès en ligne pour les établissements français bénéficiaires des licences nationales | ||
| 506 | |a Accès soumis à abonnement pour tout autre établissement | ||
| 506 | |a Conditions particulières de réutilisation pour les bénéficiaires des licences nationales. https://www.licencesnationales.fr/springer-nature-ebooks-contrat-licence-ln-2017 | ||
| 520 | |a 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. | ||
| 650 | |a Systèmes hamiltoniens | ||
| 650 | |a Équation de Schrödinger | ||
| 650 | |a Analyse mathématique | ||
| 776 | 0 | |0 017620082 |t Nearly integrable infinite-dimensional Hamiltonian systems |f Sergej B. Kuksin |c Berlin |n Springer-Verlag |d 1993 |p 1 vol. (XXVII-101 p.) |s Lecture notes in mathematics |z 0-387-57161-2 | |
| 776 | 0 | |t Nearly Integrable Infinite-Dimensional Hamiltonian Systems |b Texte imprimé |z 9783662190838 | |
| 856 | 4 | |q PDF |u https://doi.org/10.1007/BFb0092243 |z Accès sur la plateforme de l'éditeur | |
| 856 | 4 | |u https://revue-sommaire.istex.fr/ark:/67375/8Q1-59F4CX06-M |z Accès sur la plateforme Istex | |
| 856 | 4 | |5 452349901:75067931X |u https://ezproxy.univ-orleans.fr/login?url=https://doi.org/10.1007/BFb0092243 |z Accès Université d'Orléans | |
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