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Long-time existence for semi-linear Klein-Gordon equations with small Cauchy data on Zoll manifolds

✍ Scribed by Delort, Jean-Marc; Szeftel, J


Book ID
118214616
Publisher
John Hopkins University Press
Year
2006
Tongue
English
Weight
524 KB
Volume
128
Category
Article
ISSN
0002-9327

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Almost global existence for Hamiltonian
✍ D. Bambusi; J.-M. Delort; B. GrΓ©bert; J. Szeftel πŸ“‚ Article πŸ“… 2007 πŸ› John Wiley and Sons 🌐 English βš– 207 KB πŸ‘ 1 views

## Abstract 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 t