Nonlinear Oscillations of Hamiltonian PDEs / Progress in Nonlinear Differential Equations and Their Applications Bd.74 (PDF)
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...
- Kreditkarte, Paypal, Rechnung
- Kostenloser tolino webreader
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.
- Autor: Massimiliano Berti
- 2007, 2007, 180 Seiten, Englisch
- Verlag: Springer-Verlag GmbH
- ISBN-10: 0817646817
- ISBN-13: 9780817646813
- Erscheinungsdatum: 05.10.2007
Abhängig von Bildschirmgrösse und eingestellter Schriftgrösse kann die Seitenzahl auf Ihrem Lesegerät variieren.
- Dateiformat: PDF
- Grösse: 4.20 MB
- Ohne Kopierschutz
- Vorlesefunktion
From the reviews:
"After discussing important problems and introducing general techniques for Hamiltonian PDEs, the book under review focuses on the nonlinear wave equation. The point of view the author takes is a dynamical system perspective, giving the maximal priority to the search for invariant objects. … Some nice remarks and useful tools … are collected in the appendices. This monograph is written with high rigor and good taste and it may conveniently win the attention of both advanced researchers and graduate students." (Enrico Valdinoci, Mathematical Reviews, Issue 2008 i)
| Zustand | Preis | Porto | Zahlung | Verkäufer | Rating |
|---|
Schreiben Sie einen Kommentar zu "Nonlinear Oscillations of Hamiltonian PDEs / Progress in Nonlinear Differential Equations and Their Applications Bd.74".
Kommentar verfassen