Invariant tori for the Hamiltonian derivative wave equation with higher order nonlinearity

DOI10.3934/cpaa.2023033zbMath1527.37080MaRDI QIDQ6166254

Mei Na Gao

Publication date: 6 July 2023

Published in: Communications on Pure and Applied Analysis (Search for Journal in Brave)

zbMATH Keywords

KAM theoryinvariant toriHamiltonian derivative nonlinear wave equation

Mathematics Subject Classification ID

Periodic solutions to PDEs (35B10) Almost and pseudo-almost periodic solutions to PDEs (35B15) Perturbations, KAM theory for infinite-dimensional Hamiltonian and Lagrangian systems (37K55)

Cites Work

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• Quasi-periodic water waves
• A KAM theorem for Hamiltonian partial differential equations with unbounded perturbations
• Quasi-periodic solutions for 1D wave equation with higher order nonlinearity
• Hamiltonian perturbations of infinite-dimensional linear systems with an imaginary spectrum
• A KAM theorem for Hamiltonian partial differential equations in higher dimensional spaces
• Quasi-periodic solutions of nonlinear wave equations with a prescribed potential
• Periodic and quasi-periodic solutions of nonlinear wave equations via KAM theory
• KAM for the nonlinear Schrödinger equation
• Quasi-periodic solutions of nonlinear Schrödinger equations of higher dimension.
• KAM tori for 1D nonlinear wave equations with periodic boundary conditions
• Periodic solutions for completely resonant nonlinear wave equations with Dirichlet boundary conditions
• Invariant manifold of hyperbolic-elliptic type for nonlinear wave equation
• Construction of periodic solutions of nonlinear wave equations in higher dimension
• Quasi-periodic solutions for a nonlinear wave equation
• Quadratic life span of periodic gravity-capillary water waves
• Birkhoff normal form for gravity water waves
• Invariant tori for 1D quintic nonlinear wave equation
• KAM for reversible derivative wave equations
• KAM theory for the Hamiltonian derivative wave equation
• Quasi-Töplitz Functions in KAM Theorem
• Periodic solutions of nonlinear vibrating strings and duality principles
• PERTURBATION OF QUASIPERIODIC SOLUTIONS OF INFINITE-DIMENSIONAL HAMILTONIAN SYSTEMS
• Forced vibrations for a nonlinear wave equation
• On long time stability in Hamiltonian perturbations of non-resonant linear PDEs
• Newton's method and periodic solutions of nonlinear wave equations
• Quasi-Periodic Solutions of Completely Resonant Forced Wave Equations

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