Scattering for the 3D Gross–Pitaevskii Equation

Zihua Guo; Zaher Hani; Kenji Nakanishi

doi:10.1007/s00220-017-3050-3

Scattering for the 3D Gross–Pitaevskii Equation

Zihua Guo, Zaher Hani, Kenji Nakanishi

School of Mathematics

Research output: Contribution to journal › Article › Research › peer-review

17 Citations (Scopus)

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 (Ann. Inst. H. Poincaré Anal. Non Linéaire 23(5):765–779, 2006). 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.

Original language	English
Pages (from-to)	265-295
Number of pages	31
Journal	Communications in Mathematical Physics
Volume	359
Issue number	1
DOIs	https://doi.org/10.1007/s00220-017-3050-3
Publication status	Published - 1 Apr 2018

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Scattering for the 3D Gross–Pitaevskii Equation

Abstract

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