: Massimiliano Berti
: Nonlinear Oscillations of Hamiltonian PDEs
: Birkhäuser Basel
: 9780817646813
: 1
: CHF 85,30
:
: Analysis
: English
: 180
: Wasserzeichen/DRM
: PC/MAC/eReader/Tablet
: PDF

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.

Preface6
Contents14
1 Finite Dimension16
2 Infinite Dimension43
3 A Tutorial in Nash Moser Theory72
4 Application to the NonlinearWave Equation85
5 Forced Vibrations122
Appendix A Hamiltonian PDEs149
Appendix B Critical Point Theory155
Appendix C Free Vibrations of NonlinearWave Equations: A Global Result164
Appendix D Approximation of Irrationals by Rationals169
Appendix E The Banach Algebra Property of Xs,s174
Solutions176
References178
Index186