Almost periodic solutions for a class of higher-dimensional beam equations
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Publication:5444854
DOI10.1088/0951-7715/20/11/003zbMath1133.37339OpenAlexW2057569921MaRDI QIDQ5444854
Publication date: 26 February 2008
Published in: Nonlinearity (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1088/0951-7715/20/11/003
periodic boundary conditionsinvariant toriinfinite-dimensional KAM theoremhigher-dimensional beam equations with Fourier multiplier
Almost and pseudo-almost periodic solutions to PDEs (35B15) NLS equations (nonlinear Schrödinger equations) (35Q55) Perturbations, KAM theory for infinite-dimensional Hamiltonian and Lagrangian systems (37K55)
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Almost-periodic solutions for a quasi-periodically forced nonlinear Schrödinger equation ⋮ Invariant tori of full dimension for higher-dimensional beam equations with almost-periodic forcing ⋮ Almost periodic solutions of one dimensional Schrödinger equation with the external parameters ⋮ Quasi-periodically forced and reversible vibrations of beam equations with Liouvillean frequencies ⋮ Invariant tori of full dimension for second KdV equations with the external parameters ⋮ The existence of almost-periodic solutions for 1-dimensional nonlinear Schrödinger equation with quasi-periodic forcing ⋮ Kolmogorov-Arnold-Moser theorem for nonlinear beam equations with almost-periodic forcing ⋮ Invariant tori of full dimension for a nonlinear Schrödinger equation ⋮ Quasi-periodic solutions for nonlinear wave equation with Liouvillean frequency ⋮ ON THE EXISTENCE OF FULL DIMENSIONAL KAM TORUS FOR FRACTIONAL NONLINEAR SCHRÖDINGER EQUATION ⋮ Almost periodic solutions for a class of higher dimensional Schrödinger equations ⋮ Full dimension tori of Schrödinger equation ⋮ The existence of full-dimensional invariant tori for an almost-periodically forced nonlinear beam equation
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