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Nonlinear Oscillations of Hamiltonian PDEs

E-BookPDF1 - PDF WatermarkE-Book
180 Seiten
Englisch
Birkhäuser Bostonerschienen am05.10.20072007
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.mehr
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E-BookPDF1 - PDF WatermarkE-Book
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Produkt

KlappentextMany 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.
Details
Weitere ISBN/GTIN9780817646813
ProduktartE-Book
EinbandartE-Book
FormatPDF
Format Hinweis1 - PDF Watermark
FormatE107
Erscheinungsjahr2007
Erscheinungsdatum05.10.2007
Auflage2007
Reihen-Nr.74
Seiten180 Seiten
SpracheEnglisch
IllustrationenXIV, 180 p. 10 illus.
Artikel-Nr.1428821
Rubriken
Genre9200

Inhalt/Kritik

Inhaltsverzeichnis
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
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