An infinite dimensional KAM theorem with application to two dimensional completely resonant beam equation

In this paper we consider the completely resonant beam equation on \T^2 with cubic nonlinearity on a subspace of L^2 (\T^2) which will be explained later. We establish an abstract infinite dimensional KAM theorem and apply it to the completely resonant beam equation. We prove the existence of a clas...

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Veröffentlicht in:	arXiv.org 2017-01
Hauptverfasser:	Geng, Jiansheng, Zhou, Shidi
Format:	Artikel
Sprache:	eng
Schlagworte:	Mathematics - Dynamical Systems Theorems Toruses
Online-Zugang:	Volltext
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