Quasi-periodic solutions of nonlinear Schrödinger equations on \(T^{d}\)

DOI10.4171/RLM/597zbMath1230.35126MaRDI QIDQ634434

Philippe Bolle, Massimiliano Berti

Publication date: 2 August 2011

Published in: Atti della Accademia Nazionale dei Lincei. Classe di Scienze Fisiche, Matematiche e Naturali. Serie IX. Rendiconti Lincei. Matematica e Applicazioni (Search for Journal in Brave)

zbMATH Keywords

nonlinear Schrödinger equationquasiperiodic solutionssmall divisorsNash-Moser theoryinfinite dimensional Hamiltonian systemsKolmogorov-Arnold-Moser theory

Mathematics Subject Classification ID

NLS equations (nonlinear Schrödinger equations) (35Q55) Bifurcation problems for infinite-dimensional Hamiltonian and Lagrangian systems (37K50) Perturbations, KAM theory for infinite-dimensional Hamiltonian and Lagrangian systems (37K55)

Related Items (7)

Quasi-periodic solutions for a Schrödinger equation with a quintic nonlinear term depending on the time and space variables ⋮ KAM for PDEs ⋮ Quasi-Periodic Standing Wave Solutions of Gravity-Capillary Water Waves ⋮ Quasi-periodic solutions for beam equations with the nonlinear terms depending on the space variable ⋮ On time periodic solutions to the conformal cubic wave equation on the Einstein cylinder ⋮ Almost periodic solutions for a class of linear Schrödinger equations with almost periodic forcing ⋮ Quasi-periodic solutions of PDEs

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