Title | Bifurcation of free vibrations for completely resonant wave equations |
Publication Type | Journal Article |
Year of Publication | 2004 |
Authors | Berti, M, Bolle, P |
Journal | Boll. 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. |
URL | http://hdl.handle.net/1963/2245 |
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