Nonlinear Oscillations of Hamiltonian PDEs

• Main Author: Berti, Massimiliano (Author)
• Corporate Author: SpringerLink (Online service)
• Format: Electronic eBook
• Language: English
• Published: Boston, MA : Birkhäuser Boston, 2007.
• Series: Progress in Nonlinear Differential Equations and Their Applications ; 74
• Subjects: Mathematics.; Approximation theory.; Dynamics.; Ergodic theory.; Partial differential equations.; Applied mathematics.; Engineering mathematics.; Number theory.; Physics.; Partial Differential Equations.; Dynamical Systems and Ergodic Theory.; Approximations and Expansions.; Number Theory.; Applications of Mathematics.; Mathematical Methods in Physics.

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 equati...

Table of Contents:

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