Massimiliano Berti

Nonlinear Oscillations of Hamiltonian PDEs (eBook, PDF)

• Format: PDF

Produktbeschreibung

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.

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Produktdetails

• Verlag: Birkhäuser Boston
• Seitenzahl: 180
• Erscheinungstermin: 5. Oktober 2007
• Englisch
• ISBN-13: 9780817646813
• Artikelnr.: 37353540

Inhaltsangabe

Finite Dimension.- Infinite Dimension.- A Tutorial in Nash-Moser Theory.- Application to the Nonlinear Wave Equation.- Forced Vibrations.

Rezensionen

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)