Periodic solutions of nonlinear wave equations for asymptotically full measure sets of frequencies

DOI10.4171/RLM/468zbMath1113.35128arXivmath/0512053OpenAlexW1966656378MaRDI QIDQ996937

Pietro Baldi, Massimiliano Berti

Publication date: 19 July 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: https://arxiv.org/abs/math/0512053

zbMATH Keywords

Lyapunov-Schmidt reductionPeriodic solutionsInfinite-dimensional Hamiltonian systemNonlinear wave equationSmall divisors problem

Mathematics Subject Classification ID

Periodic solutions to PDEs (35B10) Second-order nonlinear hyperbolic equations (35L70) Bifurcation problems for infinite-dimensional Hamiltonian and Lagrangian systems (37K50)

Related Items

Periodic solutions for a class of nonlinear partial differential equations in higher dimension, Small amplitude periodic solutions in time for one-dimensional nonlinear wave equations, Cantor families of periodic solutions for completely resonant wave equations, Cantor families of periodic solutions for wave equations via a variational principle, Cantor families of periodic solutions for completely resonant nonlinear wave equations, Time periodic solutions of one-dimensional forced Kirchhoff equations with \(x\)-dependent coefficients under spatial periodic conditions

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