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arXiv · 1611.08320

Scattering for the 3D Gross-Pitaevskii equation

Zihua Guo·Zaher Hani·Kenji Nakanishi
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Abstract

We study the Cauchy problem for the 3D Gross-Pitaevskii equation. The global well-posedness in the natural energy space was proved by Gérard \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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Zihua Guo, Zaher Hani, Kenji Nakanishi. 2017-01-10. Scattering for the 3D Gross-Pitaevskii equation. https://doi.org/10.1007/s00220-017-3050-3

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