Reducibility for wave equations of finitely smooth potential with periodic boundary conditions

DOI10.1016/j.jde.2018.08.044zbMath1454.35010arXiv1802.08133OpenAlexW2963804430WikidataQ129309920 ScholiaQ129309920MaRDI QIDQ2423266

Bing Xie, Jing Li, Yingte Sun

Publication date: 21 June 2019

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

Full work available at URL: https://arxiv.org/abs/1802.08133

zbMATH Keywords

KAM theoryDiophantine conditionpure-point spectrumquasi-periodic wave operator

Mathematics Subject Classification ID

Initial-boundary value problems for second-order hyperbolic equations (35L20) Almost and pseudo-almost periodic solutions to PDEs (35B15) Transform methods (e.g., integral transforms) applied to PDEs (35A22) Perturbation theories for operators and differential equations in quantum theory (81Q15) Perturbations, KAM theory for infinite-dimensional Hamiltonian and Lagrangian systems (37K55)

Related Items (8)

Research on singular Sturm-Liouville spectral problems with a weighted function ⋮ Asymptotics of the eigenvalues of a fourth order differential operator with eigenvalue dependent and periodic boundary conditions ⋮ 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 ⋮ Reducibility of Schrödinger equation at high frequencies ⋮ Reducibility of the quantum harmonic oscillator in d-dimensions with finitely differentiable perturbations ⋮ Reducibility, Lyapunov exponent, pure point spectra property for quasi-periodic wave operator ⋮ Reducibility of relativistic Schrödinger equation with unbounded perturbations

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