On classical series expansions for quasi-periodic motions.
Giorgilli, Antonio, Locatelli, Ugo (1997)
Mathematical Physics Electronic Journal [electronic only]
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Giorgilli, Antonio, Locatelli, Ugo (1997)
Mathematical Physics Electronic Journal [electronic only]
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Massimiliano Berti (2011-2012)
Séminaire Laurent Schwartz — EDP et applications
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The aim of this talk is to present some recent existence results about quasi-periodic solutions for PDEs like nonlinear wave and Schrödinger equations in , , and the - derivative wave equation. The proofs are based on both Nash-Moser implicit function theorems and KAM theory.
Ricardo Pérez-Marco (2001-2002)
Séminaire Bourbaki
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Yiming Long (1990)
Mathematische Zeitschrift
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M. Timoumi, A. Trad (1995)
Collectanea Mathematica
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Chengfu Che, Xiaoping Xue (2012)
Annales Polonici Mathematici
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Two theorems about the existence of periodic solutions with prescribed energy for second order Hamiltonian systems are obtained. One gives existence for almost all energies under very natural conditions. The other yields existence for all energies under a further condition.
H. Beirão da Veiga (1990)
Rendiconti del Seminario Matematico della Università di Padova
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Klaus Thews (1980/81)
Manuscripta mathematica
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A. Katok, D. Bernstein (1987)
Inventiones mathematicae
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Xianling Fan (1991)
Annales de la Faculté des sciences de Toulouse : Mathématiques
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Thomas Bartsch, Michel Willem (1994)
Journal für die reine und angewandte Mathematik
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