Scattering for the 3D Gross-Pitaevskii Equation

作者:Guo Zihua; Hani Zaher; Nakanishi Kenji
来源:Communications in Mathematical Physics, 2018, 359(1): 265-295.
DOI:10.1007/s00220-017-3050-3

摘要

We study the Cauchy problem for the 3D Gross-Pitaevskii equation. The global well-posedness in the natural energy space was proved by G,rard (Ann. Inst. H. Poincar, Anal. Non Lin,aire 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.

  • 出版日期2018-4