Scattering for the 3D Gross-Pitaevskii equation
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scatteringenergyequationgross-pitaevskiismallspaceadditionalangular
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We study the Cauchy problem for the 3D Gross-Pitaevskii equation. The global well-posedness in the natural energy space was proved by G\'erard \cite{Gerard}. In this paper we prove scattering for small data in the same space with some additional angular regularity, and in particular in the radial case we obtain small energy scattering.
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