| 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 |
Research Group: