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The stability of full dimensional KAM tori for nonlinear Schrödinger equation

Article ID Journal Published Year Pages File Type
8898881 Journal of Differential Equations 2018 60 Pages PDF
Abstract
In this paper, it is proved that the full dimensional invariant tori obtained by Bourgain [J. Funct. Anal., 229 (2005), no. 1, 62-94] is stable in a very long time for 1D nonlinear Schrödinger equation with periodic boundary conditions.
Keywords
35Q3535B3537K5537J40primarysecondaryAlmost periodic solutionNLS equation
Related Topics
Physical Sciences and Engineering Mathematics Analysis
Preview
The stability of full dimensional KAM tori for nonlinear Schrödinger equation
Authors
Hongzi Cong, Jianjun Liu, Yunfeng Shi, Xiaoping Yuan,
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Journal
Journal of Differential Equations
Journal: Journal of Differential Equations
Related Categories
35Q35
35B35
37K55
37J40
primary
secondary
Almost periodic solution
NLS equation
Algebra and Number Theory
Analysis
Applied Mathematics
Computational Mathematics
Control and Optimization
Discrete Mathematics and Combinatorics
Geometry and Topology
Logic
Mathematical Physics
Mathematics (General)
Modelling and Simulation
Numerical Analysis
Statistics and Probability
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