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.
2008
15
1-2
247
276
https://link.springer.com/article/10.1007/s00030-007-7025-5
Berti, M.; Bolle, P.
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Utilizza questo identificativo per citare o creare un link a questo documento: https://hdl.handle.net/20.500.11767/13018
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