Growth of Sobolev norms for unbounded perturbations of the Schrödinger equation on flat tori

DOI10.1016/j.jde.2022.02.024zbMath1491.35366OpenAlexW4214719496MaRDI QIDQ2670017

Beatrice Langella, Riccardo Montalto, Dario Bambusi

Publication date: 10 March 2022

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

Full work available at URL: https://doi.org/10.1016/j.jde.2022.02.024

Mathematics Subject Classification ID

Perturbations in context of PDEs (35B20) Perturbations, KAM theory for infinite-dimensional Hamiltonian and Lagrangian systems (37K55) Pseudodifferential operators (47G30) Time-dependent Schrödinger equations and Dirac equations (35Q41)

Related Items (9)

Growth of Sobolev norms in 1-d quantum harmonic oscillator with polynomial time quasi-periodic perturbation ⋮ Reducibility of quantum harmonic oscillator on \(\mathbb{R}^d\) perturbed by a quasi: periodic potential with logarithmic decay ⋮ Long-time stability of the quantum hydrodynamic system on irrational tori ⋮ The stability of Sobolev norms for the linear wave equation with unbounded perturbations ⋮ Reducibility for a linear wave equation with Sobolev smooth fast-driven potential ⋮ Almost reducibility and oscillatory growth of Sobolev norms ⋮ Almost global existence for some Hamiltonian PDEs with small Cauchy data on general tori ⋮ Growth of Sobolev norms in linear Schrödinger equations as a dispersive phenomenon ⋮ Differential equations of quantum mechanics

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