Stability of KAM Tori for Nonlinear Schrödinger Equation

Stability of KAM Tori for Nonlinear Schrödinger Equation
Author :
Publisher : American Mathematical Soc.
Total Pages : 100
Release :
ISBN-10 : 9781470416577
ISBN-13 : 1470416573
Rating : 4/5 (573 Downloads)

Book Synopsis Stability of KAM Tori for Nonlinear Schrödinger Equation by : Hongzi Cong

Download or read book Stability of KAM Tori for Nonlinear Schrödinger Equation written by Hongzi Cong and published by American Mathematical Soc.. This book was released on 2016-01-25 with total page 100 pages. Available in PDF, EPUB and Kindle. Book excerpt: The authors prove the long time stability of KAM tori (thus quasi-periodic solutions) for nonlinear Schrödinger equation subject to Dirichlet boundary conditions , where is a real Fourier multiplier. More precisely, they show that, for a typical Fourier multiplier , any solution with the initial datum in the -neighborhood of a KAM torus still stays in the -neighborhood of the KAM torus for a polynomial long time such as for any given with , where is a constant depending on and as .


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