Nonlinear Oscillations of Hamiltonian PDEs (Record no. 425469)
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| 000 -LEADER | |
|---|---|
| fixed length control field | 03729nam a22005655i 4500 |
| 020 ## - INTERNATIONAL STANDARD BOOKNUMBER | |
| International Standard Book Number | 9780817646813 |
| -- | 978-0-8176-4681-3 |
| 024 7# - | |
| -- | 10.1007/978-0-8176-4681-3 |
| -- | doi |
| 040 ## - | |
| -- | ISI Library, Kolkata |
| 050 #4 - | |
| -- | QA370-380 |
| 072 #7 - | |
| -- | PBKJ |
| -- | bicssc |
| 072 #7 - | |
| -- | MAT007000 |
| -- | bisacsh |
| 072 #7 - | |
| -- | PBKJ |
| -- | thema |
| 082 04 - DEWEYDECIMAL CLASSIFICATION NUMBER | |
| Classification number | 515.353 |
| Edition number | 23 |
| 100 1# - MAIN ENTRY--PERSONAL NAME | |
| Personal name | Berti, Massimiliano. |
| Relator code | aut |
| -- | http://id.loc.gov/vocabulary/relators/aut |
| 245 10 - TITLE STATEMENT | |
| Title | Nonlinear Oscillations of Hamiltonian PDEs |
| Medium | [electronic resource] / |
| Statement of responsibility, etc | by Massimiliano Berti. |
| 942 ## - ADDED ENTRY ELEMENTS(KOHA) | |
| Koha item type | E-BOOKS |
| 100 1# - MAIN ENTRY--PERSONAL NAME | |
| -- | author. |
| 264 #1 - PRODUCTION, PUBLICATION, DISTRIBUTION, MANUFACTURE STATEMENTS | |
| Place of production, publication, distribution, manufacture | Boston, MA : |
| Name of producer, publisher, distributor, manufacturer | Birkhäuser Boston, |
| Date of production, publication, distribution, manufacture | 2007. |
| 300 ## - | |
| -- | XIV, 180 p. 10 illus. |
| -- | online resource. |
| 336 ## - CONTENT TYPE | |
| Content Type Term | text |
| Content Type Code | txt |
| Source | rdacontent |
| 337 ## - MEDIA TYPE | |
| Media Type Term | computer |
| Media Type Code | c |
| Source | rdamedia |
| 338 ## - CARRIER TYPE | |
| Carrier Type Term | online resource |
| Carrier Type Code | cr |
| Source | rdacarrier |
| 347 ## - | |
| -- | text file |
| -- | |
| -- | rda |
| 490 1# - | |
| -- | Progress in Nonlinear Differential Equations and Their Applications, |
| -- | 1421-1750 ; |
| -- | 74 |
| 505 0# - | |
| -- | Finite Dimension -- Infinite Dimension -- A Tutorial in Nash–Moser Theory -- Application to the Nonlinear Wave Equation -- Forced Vibrations. |
| 520 ## - | |
| -- | Many partial differential equations (PDEs) that arise in physics can be viewed as infinite-dimensional Hamiltonian systems. This monograph presents recent existence results of nonlinear oscillations of Hamiltonian PDEs, particularly of periodic solutions for completely resonant nonlinear wave equations. After introducing the reader to classical finite-dimensional dynamical system theory, including the Weinstein–Moser and Fadell–Rabinowitz resonant center theorems, the author develops the analogous theory for completely resonant nonlinear wave equations. Within this theory, both problems of small divisors and infinite bifurcation phenomena occur, requiring the use of Nash–Moser theory as well as minimax variational methods. These techniques are presented in a self-contained manner together with other basic notions of Hamiltonian PDEs and number theory. This text serves as an introduction to research in this fascinating and rapidly growing field. Graduate students and researchers interested in nonlinear variational techniques as well in small divisors problems applied to Hamiltonian PDEs will find inspiration in the book. |
| 650 #0 - | |
| -- | Differential equations, partial. |
| 650 #0 - | |
| -- | Differentiable dynamical systems. |
| 650 #0 - | |
| -- | Mathematics. |
| 650 #0 - | |
| -- | Number theory. |
| 650 #0 - | |
| -- | Mathematical physics. |
| 650 14 - | |
| -- | Partial Differential Equations. |
| -- | http://scigraph.springernature.com/things/product-market-codes/M12155 |
| 650 24 - | |
| -- | Dynamical Systems and Ergodic Theory. |
| -- | http://scigraph.springernature.com/things/product-market-codes/M1204X |
| 650 24 - | |
| -- | Approximations and Expansions. |
| -- | http://scigraph.springernature.com/things/product-market-codes/M12023 |
| 650 24 - | |
| -- | Number Theory. |
| -- | http://scigraph.springernature.com/things/product-market-codes/M25001 |
| 650 24 - | |
| -- | Applications of Mathematics. |
| -- | http://scigraph.springernature.com/things/product-market-codes/M13003 |
| 650 24 - | |
| -- | Mathematical Methods in Physics. |
| -- | http://scigraph.springernature.com/things/product-market-codes/P19013 |
| 710 2# - | |
| -- | SpringerLink (Online service) |
| 773 0# - | |
| -- | Springer eBooks |
| 776 08 - | |
| -- | Printed edition: |
| -- | 9780817671471 |
| 776 08 - | |
| -- | Printed edition: |
| -- | 9780817646806 |
| 830 #0 - | |
| -- | Progress in Nonlinear Differential Equations and Their Applications, |
| -- | 1421-1750 ; |
| -- | 74 |
| 856 40 - | |
| -- | https://doi.org/10.1007/978-0-8176-4681-3 |
| 912 ## - | |
| -- | ZDB-2-SMA |
| 950 ## - | |
| -- | Mathematics and Statistics (Springer-11649) |
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