Journal
NODEA-NONLINEAR DIFFERENTIAL EQUATIONS AND APPLICATIONS
Volume 15, Issue 1-2, Pages 247-276Publisher
BIRKHAUSER VERLAG AG
DOI: 10.1007/s00030-007-7025-5
Keywords
nonlinear wave equation; infinite dimensional Hamiltonian systems; periodic solutions; Lyapunov-Schmidt reduction; small divisors; Nash-Moser theorem
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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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