E-Book, Englisch, Band 74, 180 Seiten
Reihe: Progress in Nonlinear Differential Equations and Their Applications
Berti Nonlinear Oscillations of Hamiltonian PDEs
1. Auflage 2007
ISBN: 978-0-8176-4681-3
Verlag: Birkhäuser Boston
Format: PDF
Kopierschutz: 1 - PDF Watermark
E-Book, Englisch, Band 74, 180 Seiten
Reihe: Progress in Nonlinear Differential Equations and Their Applications
ISBN: 978-0-8176-4681-3
Verlag: Birkhäuser Boston
Format: PDF
Kopierschutz: 1 - PDF Watermark
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.
Autoren/Hrsg.
Weitere Infos & Material
1;Preface;6
2;Contents;14
3;1 Finite Dimension;16
4;2 Infinite Dimension;43
5;3 A Tutorial in Nash–Moser Theory;72
6;4 Application to the NonlinearWave Equation;85
7;5 Forced Vibrations;122
8;Appendix A Hamiltonian PDEs;149
9;Appendix B Critical Point Theory;155
10;Appendix C Free Vibrations of NonlinearWave Equations: A Global Result;164
11;Appendix D Approximation of Irrationals by Rationals;169
12;Appendix E The Banach Algebra Property of Xs,s;174
13;Solutions;176
14;References;178
15;Index;186
