Bifurcation of free vibrations for completely resonant wave equations

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dc.creatorBerti, M.
dc.creatorBolle, P.
dc.date2004-09-03
dc.date.accessioned2026-07-07T05:11:46Z
dc.date.available2026-07-07T05:11:46Z
dc.descriptionWe prove existence of small amplitude, 2 pi/omega -periodic in time solutions of completely resonant nonlinear wave equations with Dirichlet boundary conditions for any frequency omega belonging to a Cantor-like set of positive measure and for a generic set of nonlinearities. The proof relies on a suitable Lyapunov-Schmidt decomposition and a variant of the Nash-Moser Implicit Function Theorem.
dc.description7 pages
dc.identifierhttps://arxiv.org/abs/math/0409052
dc.identifierhttp://arxiv.org/abs/math/0409052
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/72359
dc.subjectAnalysis of PDEs
dc.subject53L05, 37K50, 58E05
dc.titleBifurcation of free vibrations for completely resonant wave equations
dc.typetext

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