Scattering for the 3D Gross-Pitaevskii equation
Analysis of PDEs
2018-01-17 v2 Classical Analysis and ODEs
Abstract
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.
Keywords
Cite
@article{arxiv.1611.08320,
title = {Scattering for the 3D Gross-Pitaevskii equation},
author = {Zihua Guo and Zaher Hani and Kenji Nakanishi},
journal= {arXiv preprint arXiv:1611.08320},
year = {2018}
}
Comments
28 pages; Correct some mistakes, the main results remain the same