Reducibility of 1-d quantum harmonic oscillator equation with unbounded oscillation perturbations (Q2208446)

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English	Reducibility of 1-d quantum harmonic oscillator equation with unbounded oscillation perturbations	scientific article

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instance of

scholarly article

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title

Reducibility of 1-d quantum harmonic oscillator equation with unbounded oscillation perturbations (English)

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zbMATH Open document ID

1451.35152

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DOI

10.1016/j.jde.2020.07.040

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author

Yanyan Li

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published in

Journal of Differential Equations

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publication date

3 November 2020

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full work available at URL

https://arxiv.org/abs/2003.12951

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Mathematics Subject Classification ID

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quantum harmonic oscillator

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MaRDI profile type

MaRDI publication profile

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Time quasi-periodic unbounded perturbations of Schrödinger operators and KAM methods

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Reducibility of 1-d Schrödinger equation with time quasiperiodic unbounded perturbations. II

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Reducibility of 1-d Schrödinger equation with time quasiperiodic unbounded perturbations. I

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Reducibility of 1-d Schrödinger equation with unbounded time quasiperiodic perturbations. III

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Reducibility of the quantum harmonic oscillator in $d$-dimensions with polynomial time-dependent perturbation

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KAM for autonomous quasi-linear perturbations of mKdV

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Time quasi-periodic gravity water waves in finite depth

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KAM for PDEs

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KAM Theory for Partial Differential Equations

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KAM for reversible derivative wave equations

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Quasi-Periodic Standing Wave Solutions of Gravity-Capillary Water Waves

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Q3765289

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KAM for the nonlinear beam equation

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On reducibility of Schrödinger equations with quasiperiodic in time potentials

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KAM for the nonlinear Schrödinger equation

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Q3314400

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Quasi-periodic solutions for fully nonlinear forced reversible Schrödinger equations

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Reducibility of first order linear operators on tori via Moser's theorem

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An infinite dimensional KAM theorem and its application to the two dimensional cubic Schrödinger equation

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A KAM theorem for one dimensional Schrödinger equation with periodic boundary conditions

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A KAM theorem for Hamiltonian partial differential equations in higher dimensional spaces

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Quasi-periodic solutions for quasi-linear generalized KdV equations

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KAM for the Klein Gordon equation on $\mathbb {S}^d$

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KAM for the quantum harmonic oscillator

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A KAM theorem for the defocusing NLS equation

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Q4405836

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Invariant Cantor manifolds of quasi-periodic oscillations for a nonlinear Schrödinger equation

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Nearly integrable infinite-dimensional Hamiltonian systems

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Q4510392

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Q4213742

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Quasi-periodic solutions for 1D Schrödinger equation with the nonlinearity $|u|^{2p}u$

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Reducibility of quantum harmonic oscillator on $\mathbb{R}^d$ with differential and quasi-periodic in time potential

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Quasi-Periodic Solutions for 1D Schrödinger Equations with Higher Order Nonlinearity

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Spectrum for quantum duffing oscillator and small-divisor equation with large-variable coefficient

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A KAM theorem for Hamiltonian partial differential equations with unbounded perturbations

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Standing waves on an infinitely deep perfect fluid under gravity

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Quasi-periodic solutions of forced Kirchhoff equation

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On the growth of Sobolev norms for a class of linear Schrödinger equations on the torus with superlinear dispersion

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Nash-Moser theory for standing water waves.

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Quasi-Töplitz Functions in KAM Theorem

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Periodic and quasi-periodic solutions of nonlinear wave equations via KAM theory

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Pure point spectrum of the Floquet Hamiltonian for the quantum harmonic oscillator under time quasi-periodic perturbations

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Reducibility of 1D quantum harmonic oscillator perturbed by a quasiperiodic potential with logarithmic decay

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Smoothing property for Schrödinger equations with potential superquadratic at infinity.

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KAM tori for reversible partial differential equations

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Q5846799

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