Reducibility of one-dimensional quasi-periodic Schrödinger equations
DOI10.1016/j.matpur.2015.03.004zbMath1345.37079OpenAlexW2039071038MaRDI QIDQ491761
Publication date: 19 August 2015
Published in: Journal de Mathématiques Pures et Appliquées. Neuvième Série (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1016/j.matpur.2015.03.004
Nonlinear eigenvalue problems and nonlinear spectral theory for PDEs (35P30) Almost and pseudo-almost periodic solutions to PDEs (35B15) Lattice dynamics; integrable lattice equations (37K60) Perturbations, KAM theory for infinite-dimensional Hamiltonian and Lagrangian systems (37K55) Time-dependent Schrödinger equations and Dirac equations (35Q41)
Cites Work
- Unnamed Item
- An infinite dimensional KAM theorem and its application to the two dimensional cubic Schrödinger equation
- On reducibility of Schrödinger equations with quasiperiodic in time potentials
- Localization for a class of one dimensional quasi-periodic Schrödinger operators
- Birkhoff normal form for partial differential equations with tame modulus
- Bounded Sobolev norms for linear Schrödinger equations under resonant perturbations
- Anderson localization for time quasi-periodic random Schrödinger and wave equations
- KAM for the nonlinear Schrödinger equation
- Long time Anderson localization for the nonlinear random Schrödinger equation
- On growth of Sobolev norms in linear Schrödinger equations with smooth time dependent potential
- Dynamical localization II with an application to the almost Mathieu operator
- Nearly integrable infinite-dimensional Hamiltonian systems
- Anderson localization for the almost Mathieu equation: A nonperturbative proof
- Discrete one-dimensional quasi-periodic Schrödinger operators with pure point spectrum
- A KAM theorem for one dimensional Schrödinger equation with periodic boundary conditions
- Anderson localization for the discrete one-dimensional quasi-periodic Schrödinger operator with potential defined by a Gevrey-class function
- Methods of KAM-theory for long-range quasi-periodic operators on \({\mathbb{Z}}^{\nu}\). Pure point spectrum
- Growth of Sobolev norms in linear Schrödinger equations with quasi-periodic potential
- Anderson localization for one-dimensional difference Schrödinger operator with quasiperiodic potential
- Quasi-periodic solutions for a nonlinear wave equation
- Diffusion bound and reducibility for discrete Schrödinger equations with tangent potential
- A KAM theorem for higher dimensional nonlinear Schrödinger equations
- Localization in one-dimensional quasi-periodic nonlinear systems
- Quasi-periodic solutions of nonlinear random Schrödinger equations
- KAM theory for the Hamiltonian derivative wave equation
- Logarithmic Bounds on Sobolev Norms for Time Dependent Linear Schrödinger Equations
- Newton's method and periodic solutions of nonlinear wave equations
- STRONG DYNAMICAL LOCALIZATION FOR THE ALMOST MATHIEU MODEL
- Quasi-periodic Solutions for One-Dimensional Nonlinear Lattice Schrödinger Equation with Tangent Potential
- On nonperturbative localization with quasi-periodic potential.
- Multi-scale analysis implies strong dynamical localization
- Time quasi-periodic unbounded perturbations of Schrödinger operators and KAM methods
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