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.
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Berti, M., Bolle, P. Cantor families of periodic solutions of wave equations with C k nonlinearities. Nonlinear differ. equ. appl. 15, 247–276 (2008). https://doi.org/10.1007/s00030-007-7025-5
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DOI: https://doi.org/10.1007/s00030-007-7025-5