Nonlinear Oscillations of Hamiltonian PDEs
(Sprache: Englisch)
This monograph presents recent existence results of nonlinear oscillations of Hamiltonian PDEs, particularly of periodic solutions for completely resonant nonlinear wave equations. The text serves as an introduction to research in this rapidly growing field.
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This monograph presents recent existence results of nonlinear oscillations of Hamiltonian PDEs, particularly of periodic solutions for completely resonant nonlinear wave equations. The text serves as an introduction to research in this rapidly growing field.
Klappentext zu „Nonlinear Oscillations of Hamiltonian PDEs “
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. The text serves as an introduction to research in this fascinating and rapidly growing field. Graduate students and researchers interested in variational techniques and nonlinear analysis applied to Hamiltonian PDEs will find inspiration in the book.
Inhaltsverzeichnis zu „Nonlinear Oscillations of Hamiltonian PDEs “
Finite Dimension.- Infinite Dimension.- A Tutorial in Nash-Moser Theory.- Application to the Nonlinear Wave Equation.- Forced Vibrations.
Bibliographische Angaben
- Autor: Massimiliano Berti
- 2007, 2007, 180 Seiten, Maße: 16 x 24,1 cm, Gebunden, Englisch
- Verlag: Springer
- ISBN-10: 0817646809
- ISBN-13: 9780817646806
- Erscheinungsdatum: 01.10.2007
Sprache:
Englisch
Rezension zu „Nonlinear Oscillations of Hamiltonian PDEs “
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)
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