Almost global existence for Hamiltonian semi-linear Klein-Gordon equations with small Cauchy data on Zoll manifolds

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dc.creatorBambusi, Dario
dc.creatorDelort, Jean-Marc
dc.creatorGrebert, Benoit
dc.creatorSzeftel, Jeremie
dc.date2005-10-14
dc.date.accessioned2026-07-07T06:47:29Z
dc.date.available2026-07-07T06:47:29Z
dc.descriptionThis 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.
dc.identifierhttps://arxiv.org/abs/math/0510292
dc.identifierhttp://arxiv.org/abs/math/0510292
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/103666
dc.subjectDynamical Systems
dc.subjectAnalysis of PDEs
dc.titleAlmost global existence for Hamiltonian semi-linear Klein-Gordon equations with small Cauchy data on Zoll manifolds
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