Periodic solutions of Birkhoff-Lewis type for the nonlinear wave equation

DOI10.4171/RLM/452zbMath1107.35013MaRDI QIDQ5920639

Laura Di Gregorio, Luca Biasco

Publication date: 1 February 2007

Published in: Atti della Accademia Nazionale dei Lincei. Classe di Scienze Fisiche, Matematiche e Naturali. Serie IX. Rendiconti Lincei. Matematica e Applicazioni (Search for Journal in Brave)

Full work available at URL: http://www.ems-ph.org/journals/show_abstract.php?issn=1120-6330&vol=17&iss=1&rank=3

zbMATH Keywords

periodic solutionsBirkhoff normal forminfinite-dimensional Hamiltonian systemssmall amplitudeslarge periodsNonlinear wave equation

Mathematics Subject Classification ID

Initial-boundary value problems for second-order hyperbolic equations (35L20) Periodic solutions to PDEs (35B10) Second-order nonlinear hyperbolic equations (35L70) Almost and pseudo-almost periodic solutions to PDEs (35B15) Perturbations, KAM theory for infinite-dimensional Hamiltonian and Lagrangian systems (37K55)

Related Items (1)

A Birkhoff-Lewis type theorem for the nonlinear wave equation

Cites Work

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• Periodic solutions for completely resonant nonlinear wave equations with Dirichlet boundary conditions
• On the periodic motions near a given periodic motion of a dynamical system
• Quasi-periodic solutions for a nonlinear wave equation
• Solutions with prescribed minimal period for nonlinear vibrating strings
• Time Periodic Solutions for the Nonlinear Wave Equation with Long Minimal Period
• A Birkhoff--Lewis-Type Theorem for Some Hamiltonian PDEs
• Families of periodic solutions of resonant PDEs

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