Quasi-periodic solutions to nonlinear PDEs

DOI10.2969/aspm/08510463zbMath1469.35014OpenAlexW2976586514MaRDI QIDQ2042485

Yanyan Li

Publication date: 20 July 2021

Full work available at URL: https://doi.org/10.2969/aspm/08510463

zbMATH Keywords

Newton iterationmulti-scale analysisnonlinear Klein-Gordon equationssemi-algebraic geometry

Mathematics Subject Classification ID

Almost and pseudo-almost periodic solutions to PDEs (35B15) NLS equations (nonlinear Schrödinger equations) (35Q55) Fourier coefficients, Fourier series of functions with special properties, special Fourier series (42A16) Perturbations, KAM theory for infinite-dimensional Hamiltonian and Lagrangian systems (37K55) Second-order semilinear hyperbolic equations (35L71)

Cites Work

• Energy supercritical nonlinear Schrödinger equations: quasiperiodic solutions
• A KAM algorithm for the resonant non-linear Schrödinger equation
• Space quasi-periodic standing waves for nonlinear Schrödinger equations

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