KAM tori of Hamiltonian perturbations of 1D linear beam equations

From MaRDI portal
Publication:1868998

DOI10.1016/S0022-247X(02)00505-XzbMath1017.35110OpenAlexW2010541420MaRDI QIDQ1868998

Jiangong You, Jiansheng Geng

Publication date: 9 April 2003

Published in: Journal of Mathematical Analysis and Applications (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/s0022-247x(02)00505-x




Related Items

A KAM theorem for Hamiltonian partial differential equations in higher dimensional spacesNonlinear vibrations of a beam with time-varying rigidity and massLower dimensional invariant tori with prescribed frequency for nonlinear wave equationReal analytic quasi-periodic solutions with more Diophantine frequencies for perturbed KdV equationsWhiskered tori for forced beam equations with multi-dimensional Liouvillean frequencyQuasi-periodically forced and reversible vibrations of beam equations with Liouvillean frequenciesQuasi-periodic solutions of a quasi-periodically forced nonlinear beam equationQuasi-periodic solutions to nonlinear beam equations on compact Lie groups with a multiplicative potentialQuasi-periodic solutions for beam equations with the nonlinear terms depending on the space variableUnnamed ItemKAM Tori for higher dimensional quintic beam equationQuasi-periodic solutions for a completely resonant beam equation with a nonlinear term depending on the time and space variablesA KAM theorem for the Hamiltonian with finite zero normal frequencies and its applications (in memory of Professor Walter Craig)On the existence of Sobolev quasi-periodic solutions of multidimensional nonlinear beam equationAlmost periodic solutions for a class of higher dimensional Schrödinger equationsKAM tori for higher dimensional beam equation with a fixed constant potentialQuasi-periodic solutions of nonlinear beam equation with prescribed frequenciesThe existence of full-dimensional invariant tori for an almost-periodically forced nonlinear beam equationReal analytic quasi-periodic solutions for the derivative nonlinear Schrödinger equations



Cites Work