Stability of KAM Tori for Nonlinear Schrödinger Equation PDF Download

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Stability of KAM Tori for Nonlinear Schrödinger Equation

Stability of KAM Tori for Nonlinear Schrödinger Equation PDF Author: Hongzi Cong
Publisher: American Mathematical Soc.
ISBN: 1470416573
Category : Mathematics
Languages : en
Pages : 100

Book Description
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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