In this paper, by using a compactness method, we study the Cauchy problem of the logarithmic Schrödinger 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

Ardila, A., Cely, L., Squassina, M., Logarithmic Bose-Einstein condensates with harmonic potential, <<ASYMPTOTIC ANALYSIS>>, 2020; (116): 27-40. [doi:10.3233/ASY-191538] [http://hdl.handle.net/10807/154859]

Logarithmic Bose-Einstein condensates with harmonic potential

Squassina, Marco
2020

Abstract

In this paper, by using a compactness method, we study the Cauchy problem of the logarithmic Schrödinger 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
2020
Inglese
Ardila, A., Cely, L., Squassina, M., Logarithmic Bose-Einstein condensates with harmonic potential, <<ASYMPTOTIC ANALYSIS>>, 2020; (116): 27-40. [doi:10.3233/ASY-191538] [http://hdl.handle.net/10807/154859]
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Utilizza questo identificativo per citare o creare un link a questo documento: https://hdl.handle.net/10807/154859
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