Quasi-periodic solutions for nonlinear wave equation with Liouvillean frequency

DOI10.3934/DCDSB.2020241zbMath1486.35373OpenAlexW3081333125MaRDI QIDQ2033741

Junxiang Xu, Yanling Shi

Publication date: 17 June 2021

Published in: Discrete and Continuous Dynamical Systems. Series B (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.3934/dcdsb.2020241

zbMATH Keywords

wave equationnormal formquasi-periodic solutionHamiltonian systeminfinite dimensional KAM theoryTöplitz-Lipschitz propertyfractional Schrödinger equation systemLiouvillean frequency

Mathematics Subject Classification ID

Fractional derivatives and integrals (26A33) NLS equations (nonlinear Schrödinger equations) (35Q55) Perturbations, KAM theory for infinite-dimensional Hamiltonian and Lagrangian systems (37K55) Fractional partial differential equations (35R11)

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