Calculus of Variations and Geometric Measure Theory
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A. H. Ardila - L. Cely - M. Squassina

Logarithmic Bose-Einstein condensates with harmonic potential

created by squassina on 02 Jan 2018

[BibTeX]

Preprint

Inserted: 2 jan 2018
Last Updated: 2 jan 2018

Year: 2018

Abstract:

In this paper, by using a compactness method, we study the Cauchy problem of the logarithmic Schrodinger 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: Logarithmic Schr\"{o}dinger equation; harmonic potential; stability


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