A KAM theorem for the defocusing NLS equation

DOI10.1016/j.jde.2011.11.028zbMath1234.35248OpenAlexW1991047842MaRDI QIDQ765963

Zhenguo Liang, Thomas Kappeler

Publication date: 22 March 2012

Published in: Journal of Differential Equations (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.jde.2011.11.028

Mathematics Subject Classification ID

Sobolev spaces and other spaces of ``smooth functions, embedding theorems, trace theorems (46E35) NLS equations (nonlinear Schrödinger equations) (35Q55)

Related Items (11)

Quasi-periodic solutions for fractional nonlinear Schrödinger equation ⋮ KAM for PDEs ⋮ Long time stability of small finite gap solutions of the cubic nonlinear Schrödinger equation on \(\mathbb{T}^2\) ⋮ Traveling quasi-periodic water waves with constant vorticity ⋮ Reducibility of 1D quantum harmonic oscillator perturbed by a quasiperiodic potential with logarithmic decay ⋮ Reducibility of quantum harmonic oscillator on $\mathbb{R}^d$ with differential and quasi-periodic in time potential ⋮ Reducibility of 1-d quantum harmonic oscillator equation with unbounded oscillation perturbations ⋮ KAM theorem for a Hamiltonian system with sublinear growth frequencies at infinity ⋮ On reducibility of 1d wave equation with quasiperiodic in time potentials ⋮ A KAM theorem for some partial differential equations in one dimension ⋮ Quasiperiodic solutions of NLS with Liouvillean frequencies

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