Title | Cantor families of periodic solutions of wave equations with C k nonlinearities |
Publication Type | Journal Article |
Year of Publication | 2008 |
Authors | Berti, M, Bolle, P |
Journal | Nonlinear Differential Equations and Applications |
Volume | 15 |
Pagination | 247-276 |
ISSN | 10219722 |
Abstract | We prove bifurcation of Cantor families of periodic solutions for wave equations with nonlinearities of class C k . It requires a modified Nash-Moser iteration scheme with interpolation estimates for the inverse of the linearized operators and for the composition operators. © 2008 Birkhaueser. |
DOI | 10.1007/s00030-007-7025-5 |