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Nonlinear oscillations of Hamiltonian PDEs

Author: Massimiliano Berti
Publisher: Boston : Birkhäuser, ©2007.
Series: Progress in nonlinear differential equations and their applications, v. 74.
Edition/Format:   Print book : EnglishView all editions and formats
Summary:
"After introducing the reader to classical finite-dimensional dynamical system theory, including the Weinstein-Moser and Fadell-Rabinowitz resonant center theorems, an analogous theory for completely resonant nonlinear wave equations is developed. 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  Read more...
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Material Type: Internet resource
Document Type: Book, Internet Resource
All Authors / Contributors: Massimiliano Berti
ISBN: 9780817646806 0817646809
OCLC Number: 166362219
Target Audience: Graduate students and researchers.
Description: xiv, 180 pages : illustrations ; 25 cm.
Contents: 1. Finite Dimension --
2. Infinite Dimension --
3. A Tutorial in Nash-Moser Theory --
4. Application to the Nonlinear Wave Equation --
5. Forced Vibrations --
App. A. Hamiltonian PDEs --
App. B. Critical Point Theory --
App. C. Free Vibrations of Nonlinear Wave Equations: A Global Result --
App. D. Approximation of Irrationals by Rationals --
App. E. The Banach Algebra Property of X[subscript [sigma], s].
Series Title: Progress in nonlinear differential equations and their applications, v. 74.
Responsibility: Massimiliano Berti.
More information:

Abstract:

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  Read more...

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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 Read more...

 
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