Almost-periodic solutions of an almost-periodically forced wave equation

This work focuses on a wave equation with almost-periodic forcing ψ(ωt,x) subject to Dirichlet boundary conditions. For the equation we obtain almost-periodic solutions corresponding to full-dimensional invariant tori of an associated infinite dimensional dynamical system. The proof is based on the...

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Bibliographic Details
Published inJournal of mathematical analysis and applications Vol. 451; no. 2; pp. 629 - 658
Main Authors Rui, Jie, Liu, Bingchen
Format Journal Article
LanguageEnglish
Published Elsevier Inc 15.07.2017
Subjects
Almost-periodic function
Almost-periodic solutions
Infinite dimensional Hamiltonian systems
Wave equations
Infinite dimensional Hamiltonian systems
Almost-periodic solutions
Wave equations
Almost-periodic function
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Summary:This work focuses on a wave equation with almost-periodic forcing ψ(ωt,x) subject to Dirichlet boundary conditions. For the equation we obtain almost-periodic solutions corresponding to full-dimensional invariant tori of an associated infinite dimensional dynamical system. The proof is based on the reducibility via an improved KAM theory.
ISSN:0022-247X
1096-0813
DOI:10.1016/j.jmaa.2017.02.036