Reducible KAM tori for two-dimensional nonlinear Schrödinger equations with explicit dependence on the spatial variable
type: Item
instance of: scholarly article
title: Reducible KAM tori for two-dimensional nonlinear Schrödinger equations with explicit dependence on the spatial variable
zbMATH Open document ID: 1490.35416
author: Jiansheng Geng
author: S.-S. Xue
published in: Journal of Functional Analysis
publication date: 2022-03-15T00:00:00Z
Mathematics Subject Classification ID: 35Q55
Mathematics Subject Classification ID: 35Q41
Mathematics Subject Classification ID: 37K55
Mathematics Subject Classification ID: 35B65
zbMATH DE Number: 7489501
zbMATH Keywords: Schrödinger equation
zbMATH Keywords: KAM tori
zbMATH Keywords: quasi-periodic solutions
MaRDI profile type: Publication
full work available at URL: j.jfa.2022.109430
OpenAlex ID: W4213201335
cites work: KAM for autonomous quasi-linear perturbations of mKdV
cites work: Time quasi-periodic gravity water waves in finite depth
cites work: On long time stability in Hamiltonian perturbations of non-resonant linear PDEs
cites work: Sobolev quasi-periodic solutions of multidimensional wave equations with a multiplicative potential
cites work: Quasi-periodic solutions with Sobolev regularity of NLS on \(\mathbb T^d\) with a multiplicative potential
cites work: Long time dynamics of Schrödinger and wave equations on flat tori
cites work: Nonlinear wave and Schrödinger equations on compact Lie groups and homogeneous spaces
cites work: An abstract Nash-Moser theorem with parameters and applications to PDEs
cites work: An abstract Nash-Moser theorem and quasi-periodic solutions for NLW and NLS on compact Lie groups and homogeneous manifolds
cites work: Q4763964
cites work: Construction of periodic solutions of nonlinear wave equations in higher dimension
cites work: Quasi-periodic solutions of Hamiltonian perturbations of 2D linear Schrödinger equations
cites work: The Cauchy problem for nonlinear Schrödinger equation (NLS) with critical nonlinearity
cites work: On diffusion in high-dimensional Hamiltonian systems and PDE
cites work: Green's Function Estimates for Lattice Schrodinger Operators and Applications. (AM-158)
cites work: Quasi-periodic solutions of nonlinear random Schrödinger equations
cites work: A KAM theorem for higher dimensional wave equations under nonlocal perturbation
cites work: KAM tori for 1D nonlinear wave equations with periodic boundary conditions
cites work: Newton's method and periodic solutions of nonlinear wave equations
cites work: Q4735812
cites work: KAM for the nonlinear Schrödinger equation
cites work: KAM for the nonlinear beam equation
cites work: Quasi-periodic solutions in a nonlinear Schrödinger equation
cites work: A KAM theorem for one dimensional Schrödinger equation with periodic boundary conditions
cites work: A KAM theorem for Hamiltonian partial differential equations in higher dimensional spaces
cites work: KAM tori for higher dimensional beam equations with constant potentials*
cites work: A KAM theorem for higher dimensional nonlinear Schrödinger equations
cites work: An infinite dimensional KAM theorem and its application to the two dimensional cubic Schrödinger equation
cites work: Q4405836
cites work: Hamiltonian perturbations of infinite-dimensional linear systems with an imaginary spectrum
cites work: Nearly integrable infinite-dimensional Hamiltonian systems
cites work: Invariant Cantor manifolds of quasi-periodic oscillations for a nonlinear Schrödinger equation
cites work: Quasi-periodic solutions for a nonlinear wave equation
cites work: Q5687501
cites work: On the construction of almost periodic solutions for a nonlinear Schrödinger equation
cites work: A KAM algorithm for the resonant non-linear Schrödinger equation
cites work: A normal form for the Schrödinger equation with analytic non-linearities
cites work: Energy supercritical nonlinear Schrödinger equations: quasiperiodic solutions
cites work: Periodic and quasi-periodic solutions of nonlinear wave equations via KAM theory
cites work: Persistence of lower-dimensional tori under the first Melnikov's non-resonance condition
cites work: A KAM theorem of degenerate infinite dimensional Hamiltonian systems. I
cites work: A KAM theorem of degenerate infinite dimensional Hamiltonian systems. II
cites work: Perturbations of lower dimensional tori for Hamiltonian systems
cites work: Quasi-periodic solutions of completely resonant nonlinear wave equations
DOI: 10.1016/J.JFA.2022.109430
description: scientific article; zbMATH DE number 7489501