Global well-posedness for a nonlocal Gross-Pitaevskii equation with non-zero condition at infinity
Analysis of PDEs
2011-05-16 v2
Abstract
We study the Gross-Pitaevskii equation involving a nonlocal interaction potential. Our aim is to give sufficient conditions that cover a variety of nonlocal interactions such that the associated Cauchy problem is globally well-posed with non-zero boundary condition at infinity, in any dimension. We focus on even potentials that are positive definite or positive tempered distributions.
Keywords
Cite
@article{arxiv.0907.5227,
title = {Global well-posedness for a nonlocal Gross-Pitaevskii equation with non-zero condition at infinity},
author = {André de Laire},
journal= {arXiv preprint arXiv:0907.5227},
year = {2011}
}
Comments
Communications in Partial Differential Equations (2010)