On the Kolmogorov theorem for some infinite-dimensional Hamiltonian systems of short range

Yuan Wu, Xiaoping Yuan

Type: Article

Publication Date: 2020-09-19

Citations: 3

DOI: https://doi.org/10.1016/j.na.2020.112120

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arXiv (Cornell University) - View - PDF
Nonlinear Analysis - View

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Works Cited by This (28)

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
+	KAM for autonomous quasi-linear perturbations of KdV	2015	Riccardo Montalto Pietro Baldi Massimiliano Berti
+ PDF Chat	KAM for the nonlinear Schrödinger equation	2010	L. H. Eliasson Sergei Kuksin
+	On the construction of almost periodic solutions for a nonlinear Schrödinger equation	2002	Jürgen Pöschel
+	A KAM Theorem for Higher Dimensional Nonlinear Schrödinger Equations	2013	Jiansheng Geng Jiangong You
+	Hamiltonian perturbations of infinite-dimensional linear systems with an imaginary spectrum	1987	Sergei Kuksin
+	Newton's method and periodic solutions of nonlinear wave equations	1993	Walter Craig C. Eugene Wayne
+	PERTURBATION OF QUASIPERIODIC SOLUTIONS OF INFINITE-DIMENSIONAL HAMILTONIAN SYSTEMS	1989	Sergei Kuksin
+ PDF Chat	A KAM Theorem for Hamiltonian Partial Differential Equations with Unbounded Perturbations	2011	Jianjun Liu Xiaoping Yuan