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Bifurcation of free vibrations for completely resonant wave equations

TitleBifurcation of free vibrations for completely resonant wave equations
Publication TypeJournal Article
Year of Publication2004
AuthorsBerti, M, Bolle, P
JournalBoll. Unione Mat. Ital. Sez. B 7 (2004) 519-528
Abstract

We 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.

URLhttp://hdl.handle.net/1963/2245

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