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arXiv:1206.3473 [math.AP]AbstractReferencesReviewsResources

Scattering for the Zakharov system in 3 dimensions

Zaher Hani, Fabio Pusateri, Jalal Shatah

Published 2012-06-15, updated 2013-03-21Version 2

We prove global existence and scattering for small localized solutions of the Cauchy problem for the Zakharov system in 3 space dimensions. The wave component is shown to decay pointwise at the optimal rate of t^{-1}, whereas the Schr\"odinger component decays almost at a rate of t^{-7/6}.

Comments: Minor changes and referee's comments included
Categories: math.AP
Subjects: 35Q55, 35L70
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