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.
Cantor families of periodic solutions of wave equations with C^k nonlinearities / Berti, M.; Bolle, P.. - In: NODEA-NONLINEAR DIFFERENTIAL EQUATIONS AND APPLICATIONS. - ISSN 1021-9722. - 15:1-2(2008), pp. 247-276. [10.1007/s00030-007-7025-5]
Cantor families of periodic solutions of wave equations with C^k nonlinearities
Berti, M.;
2008-01-01
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.File in questo prodotto:
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