KAM tori for higher dimensional beam equation with a fixed constant potential

DOI10.1007/s11425-008-0158-0zbMath1180.37112OpenAlexW2046475604MaRDI QIDQ1044252

Jiansheng Geng, Xindong Xu

Publication date: 11 December 2009

Published in: Science in China. Series A (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s11425-008-0158-0

Mathematics Subject Classification ID

Lattice dynamics; integrable lattice equations (37K60) Perturbations, KAM theory for infinite-dimensional Hamiltonian and Lagrangian systems (37K55)

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Cites Work

• A KAM theorem for Hamiltonian partial differential equations in higher dimensional spaces
• KAM tori for 1D nonlinear wave equations with periodic boundary conditions
• A KAM theorem for one dimensional Schrödinger equation with periodic boundary conditions
• KAM tori of Hamiltonian perturbations of 1D linear beam equations
• Invariant Cantor manifolds of quasi-periodic oscillations for a nonlinear Schrödinger equation
• A KAM theorem of degenerate infinite dimensional Hamiltonian systems. I
• Quasi-periodic solutions for a nonlinear wave equation
• KAM tori for higher dimensional beam equations with constant potentials^*
• Analytic Extensions of Differentiable Functions Defined in Closed Sets