Reducibility of one-dimensional quasi-periodic Schrödinger equations
type: Item
instance of: scholarly article
title: Reducibility of one-dimensional quasi-periodic Schrödinger equations
zbMATH Open document ID: 1345.37079
author: Jiansheng Geng
author: Zhiyan Zhao
published in: Journal de Mathématiques Pures et Appliquées. Neuvième Série
publication date: 2015-08-19T00:00:00Z
Mathematics Subject Classification ID: 37K55
Mathematics Subject Classification ID: 35B15
Mathematics Subject Classification ID: 35Q41
Mathematics Subject Classification ID: 37K60
Mathematics Subject Classification ID: 35P30
zbMATH DE Number: 6473574
zbMATH Keywords: reducibility
zbMATH Keywords: dynamical localization
zbMATH Keywords: KAM
zbMATH Keywords: short-range decay
MaRDI profile type: Publication
full work available at URL: j.matpur.2015.03.004
OpenAlex ID: W2039071038
cites work: Time quasi-periodic unbounded perturbations of Schrödinger operators and KAM methods
cites work: Birkhoff normal form for partial differential equations with tame modulus
cites work: KAM theory for the Hamiltonian derivative wave equation
cites work: Growth of Sobolev norms in linear Schrödinger equations with quasi-periodic potential
cites work: On growth of Sobolev norms in linear Schrödinger equations with smooth time dependent potential
cites work: On nonperturbative localization with quasi-periodic potential.
cites work: Anderson localization for time quasi-periodic random Schrödinger and wave equations
cites work: Q5430043
cites work: Quasi-periodic solutions of nonlinear random Schrödinger equations
cites work: Methods of KAM-theory for long-range quasi-periodic operators on \({\mathbb{Z}}^{\nu}\). Pure point spectrum
cites work: Newton's method and periodic solutions of nonlinear wave equations
cites work: Multi-scale analysis implies strong dynamical localization
cites work: Discrete one-dimensional quasi-periodic Schrödinger operators with pure point spectrum
cites work: On reducibility of Schrödinger equations with quasiperiodic in time potentials
cites work: KAM for the nonlinear Schrödinger equation
cites work: Localization for a class of one dimensional quasi-periodic Schrödinger operators
cites work: An infinite dimensional KAM theorem and its application to the two dimensional cubic Schrödinger equation
cites work: A KAM theorem for one dimensional Schrödinger equation with periodic boundary conditions
cites work: A KAM theorem for higher dimensional nonlinear Schrödinger equations
cites work: Localization in one-dimensional quasi-periodic nonlinear systems
cites work: Quasi-periodic Solutions for One-Dimensional Nonlinear Lattice Schrödinger Equation with Tangent Potential
cites work: Dynamical localization II with an application to the almost Mathieu operator
cites work: STRONG DYNAMICAL LOCALIZATION FOR THE ALMOST MATHIEU MODEL
cites work: Anderson localization for the almost Mathieu equation: A nonperturbative proof
cites work: Anderson localization for the discrete one-dimensional quasi-periodic Schrödinger operator with potential defined by a Gevrey-class function
cites work: Nearly integrable infinite-dimensional Hamiltonian systems
cites work: Quasi-periodic solutions for a nonlinear wave equation
cites work: Anderson localization for one-dimensional difference Schrödinger operator with quasiperiodic potential
cites work: Logarithmic Bounds on Sobolev Norms for Time Dependent Linear Schrödinger Equations
cites work: Bounded Sobolev norms for linear Schrödinger equations under resonant perturbations
cites work: Long time Anderson localization for the nonlinear random Schrödinger equation
cites work: Diffusion bound and reducibility for discrete Schrödinger equations with tangent potential
DOI: 10.1016/J.MATPUR.2015.03.004
description: scientific article; zbMATH DE number 6473574