KAM tori for higher dimensional beam equations with constant potentials<sup>*</sup>

Jiansheng Geng, Jiangong You

Type: Article

Publication Date: 2006-09-15

Citations: 70

DOI: https://doi.org/10.1088/0951-7715/19/10/007

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Nonlinearity - View

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+ PDF Chat	Long time existence for the semi-linear beam equation on irrational tori of dimension two	2016	Rafik Imekraz
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Works Cited by This (22)

Action	Title	Year	Authors
+	Green's Function Estimates for Lattice Schrödinger Operators and Applications.	2004	Jean Bourgain
+	Nearly Integrable Infinite-Dimensional Hamiltonian Systems	1993	Sergej B. Kuksin
+	Birkhoff Normal Form for Some Nonlinear PDEs	2003	Dario Bambusi
+	On long time stability in Hamiltonian perturbations of non-resonant linear PDEs	1999	Dario Bambusi
+	A KAM Theorem for Hamiltonian Partial Differential Equations in Higher Dimensional Spaces	2005	Jiansheng Geng Jiangong You
+	KAM tori of Hamiltonian perturbations of 1D linear beam equations	2003	Jiansheng Geng Jiangong You
+	Global Solutions of Nonlinear Schrödinger Equations	1999	J. Bourgain
+	Analytic Extensions of Differentiable Functions Defined in Closed Sets	1992	Hassler Whitney
+	A KAM theorem for one dimensional Schrödinger equation with periodic boundary conditions	2004	Jiansheng Geng Jiangong You
+	Newton's method and periodic solutions of nonlinear wave equations	1993	Walter Craig C. Eugene Wayne