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Small data global existence for the semilinear wave equation with space–time dependent damping

✍ Scribed by Yuta Wakasugi

Book ID: 113721989
Publisher: Elsevier Science
Year: 2012
Tongue: English
Weight: 265 KB
Volume: 393
Category: Article
ISSN: 0022-247X
DOI: 10.1016/j.jmaa.2012.03.035

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## 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