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Cantor families of periodic solutions of wave equations with C k nonlinearities

TitleCantor families of periodic solutions of wave equations with C k nonlinearities
Publication TypeJournal Article
Year of Publication2008
AuthorsBerti, M, Bolle, P
JournalNonlinear Differential Equations and Applications
Volume15
Pagination247-276
ISSN10219722
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.

DOI10.1007/s00030-007-7025-5

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