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, Massimiliano; Bolle, P.. - In: NODEA-NONLINEAR DIFFERENTIAL EQUATIONS AND APPLICATIONS. - ISSN 1021-9722. - STAMPA. - 15:(2008), pp. 247-276. [10.1007/s00030-007-7025-5]
Cantor families of periodic solutions of wave equations with C^k nonlinearities
BERTI, MASSIMILIANO;
2008
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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