Quasi-periodic solutions of two dimensional Schrödinger equations with quasi-periodic forcing

DOI10.1016/J.NA.2016.01.012zbMath1383.35218OpenAlexW2260136577MaRDI QIDQ265545

Min Zhang

Publication date: 4 April 2016

Published in: Nonlinear Analysis. Theory, Methods \& Applications. Series A: Theory and Methods (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.na.2016.01.012

zbMATH Keywords

Hamiltonian systemsSchrödinger equationsKAM theory

Mathematics Subject Classification ID

Abstract critical point theory (Morse theory, Lyusternik-Shnirel'man theory, etc.) in infinite-dimensional spaces (58E05) Almost and pseudo-almost periodic solutions to PDEs (35B15) NLS equations (nonlinear Schrödinger equations) (35Q55) Bifurcation problems for infinite-dimensional Hamiltonian and Lagrangian systems (37K50)

Related Items (9)

Almost-periodic solutions for a quasi-periodically forced nonlinear Schrödinger equation ⋮ Reducibility and quasi-periodic solutions for a two dimensional beam equation with quasi-periodic in time potential ⋮ Quasi-periodic solutions for a class of higher dimensional beam equation with quasi-periodic forcing ⋮ The existence of almost-periodic solutions for 1-dimensional nonlinear Schrödinger equation with quasi-periodic forcing ⋮ Quasi-periodic Solutions for Schrödinger Equation with Finite Smooth Quasi-periodic Forcing ⋮ Kolmogorov-Arnold-Moser theorem for nonlinear beam equations with almost-periodic forcing ⋮ Invariant tori for two-dimensional nonlinear Schrödinger equations with large forcing terms ⋮ The existence of full-dimensional invariant tori for an almost-periodically forced nonlinear beam equation ⋮ KAM tori for a two dimensional beam equation with a quintic nonlinear term and quasi-periodic forcing

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