Scattering for the Zakharov system in 3 dimensions
classification
🧮 math.AP
keywords
componentdimensionsratescatteringsystemzakharovalmostcauchy
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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}.
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