Description
SPRINGER/BIRKHAUSER Nonlinear Oscillations Of Hamiltonian Pdes (Progress In Nonlinear Differential Equations And Their Applications Volume 74) 2007 Edition by BERTI MASSIMILIANO
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. Finite Dimension.- Infinite Dimension.- A Tutorial in Nash-Moser Theory.- Application to the Nonlinear Wave Equation.- Forced Vibrations.