Families of periodic orbits for some PDE's in higher dimensions.

DOI10.3934/CPAA.2002.1.269zbMath1034.35081OpenAlexW2081393526MaRDI QIDQ1848485

Simone Paleari, Dario Bambusi

Publication date: 2002

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

Full work available at URL: https://doi.org/10.3934/cpaa.2002.1.269

zbMATH Keywords

contraction mapping principleLyapunov-Schmidt decompositionaveraging theoryCantor families of periodic orbits

Mathematics Subject Classification ID

Periodic solutions to PDEs (35B10) Plates (74K20) Second-order nonlinear hyperbolic equations (35L70) Perturbations in context of PDEs (35B20) Higher-order nonlinear hyperbolic equations (35L75)

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Quasi-periodic solutions for beam equations with the nonlinear terms depending on the space variable ⋮ Quasi-periodic solutions of nonlinear Schrödinger equations of higher dimension. ⋮ Periodic Navier Solutions for the Plate Equation with Non-Monotone Nonlinearities: the Multidimensional Case ⋮ Dirichlet problem for semilinear hyperbolic equation. Multidimensional case ⋮ Periodic solutions for forced vibrations of wave equation with general nonlinearities: the multidimensional case ⋮ Existence and continuous approximation of small amplitude breathers in 1D and 2D Klein–Gordon lattices ⋮ Invariant tori for commuting Hamiltonian PDEs

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