Logarithmic Bose-Einstein condensates with harmonic potential
Analysis of PDEs
2019-02-11 v2
Abstract
In this paper, by using a compactness method, we study the Cauchy problem of the logarithmic Schr\"{o}dinger equation with harmonic potential. We then address the existence of ground states solutions as minimizers of the action on the Nehari manifold. Finally, we explicitly compute ground states (Gausson-type solution) and we show their orbital stability.
Keywords
Cite
@article{arxiv.1801.01382,
title = {Logarithmic Bose-Einstein condensates with harmonic potential},
author = {Alex H. Ardila and Liliana Cely and Marco Squassina},
journal= {arXiv preprint arXiv:1801.01382},
year = {2019}
}
Comments
12 pages, updated version