Long time stability of KAM tori for nonlinear wave equation

DOI10.1016/j.jde.2014.12.025zbMath1330.35254arXiv1404.7556OpenAlexW2042924461MaRDI QIDQ2259255

Hongzi Cong, Jian-Jun Liu, Mei Na Gao

Publication date: 27 February 2015

Published in: Journal of Differential Equations (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1404.7556

zbMATH Keywords

Dirichlet boundary conditionspartial normal form\(p\)-tame property

Mathematics Subject Classification ID

Initial-boundary value problems for second-order hyperbolic equations (35L20) Perturbations, KAM theory for infinite-dimensional Hamiltonian and Lagrangian systems (37K55) Second-order semilinear hyperbolic equations (35L71)

Related Items

Long time stability of plane wave solutions to Schrödinger equation on Torus ⋮ A Nekhoroshev type theorem for the nonlinear wave equation ⋮ Long time stability of KAM tori for the generalized Boussinesq equation ⋮ The stability of full dimensional KAM tori for nonlinear Schrödinger equation ⋮ A Nekhoroshev type theorem for the nonlinear wave equation in Gevrey space ⋮ Almost global existence for the fractional Schrödinger equations

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