Mathematics – Dynamical Systems
Scientific paper
2005-10-14
Mathematics
Dynamical Systems
Scientific paper
This paper is devoted to the proof of almost global existence results for
Klein-Gordon equations on Zoll manifolds (e.g. spheres of arbitrary dimension)
with Hamiltonian nonlinearities, when the Cauchy data are smooth and small. The
proof relies on Birkhoff normal form methods and on the specific distribution
of eigenvalues of the laplacian perturbed by a potential on Zoll manifolds.
Bambusi Dario
Delort Jean-Marc
Grebert Benoît
Szeftel Jeremie
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