Long time stability of KAM tori for the nonlinear Schrödinger equation

2021/12/07 by He, Xiaolong, Shi, Jia, Yuan, Xiaoping
#Analysis of PDEs (math.AP) #Dynamical Systems (math.DS) #FOS: Mathematics

paper · doi:10.48550/arxiv.2112.03464

Abstract

In this paper, we prove the long time stability of KAM tori for the nonlinear Schrödinger equation on the torus with arbitrary dimensions.

Related

• Stability of KAM tori for nonlinear Schrodinger equation
• Long time stability for KAM tori of the derivative nonlinear Schrödinger equation
• The Stability of Full Dimensional KAM tori for Nonlinear Schrödinger equation
• A note on stability of Eliasson-Kuksin's KAM tori for the nonlinear Schrödinger equation
• Long time stability of KAM tori for nonlinear wave equation