Stability of KAM Tori for Nonlinear Schrödinger Equation
Author | : Hongzi Cong |
Publisher | : American Mathematical Soc. |
Total Pages | : 100 |
Release | : 2016-01-25 |
ISBN-10 | : 9781470416577 |
ISBN-13 | : 1470416573 |
Rating | : 4/5 (573 Downloads) |
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 .