Linear Schrödinger Equation with an Almost Periodic Potential

DOI10.1137/20M1320742zbMath1458.35025arXiv1910.12300OpenAlexW3122370464MaRDI QIDQ5147554

Riccardo Montalto, Michela Procesi

Publication date: 27 January 2021

Published in: SIAM Journal on Mathematical Analysis (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1910.12300

zbMATH Keywords

analytic almost periodic change of variablescontrol of Sobolev and analytic normsKAM-reducibilitysmall unbounded almost periodic perturbation

Mathematics Subject Classification ID

Almost and pseudo-almost periodic solutions to PDEs (35B15) A priori estimates in context of PDEs (35B45) Perturbations, KAM theory for infinite-dimensional Hamiltonian and Lagrangian systems (37K55) Time-dependent Schrödinger equations and Dirac equations (35Q41)

Related Items (6)

Persistence of invariant tori in infinite-dimensional Hamiltonian systems ⋮ Almost periodic invariant tori for the NLS on the circle ⋮ Reducibility for a linear wave equation with Sobolev smooth fast-driven potential ⋮ Ground state of the discrete elliptic operator and its application ⋮ Almost-periodic response solutions for a forced quasi-linear Airy equation ⋮ Effective Gaps in Continuous Floquet Hamiltonians

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