We study the global Cauchy problem associated to the Davey-Stewartson system in *\re^n,\ n=2,3*. Existence and uniqueness of solution are stablished for small data in some weak *L^p* space. We apply an interpolation theorem and the generalization of the Strichartz estimates for the Schr\"odinger equation derivated in \cite{CVeVi}. As a... Show more

April 7, 2011

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The Davey Stewartson system in Weak $L^p$ Spaces

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