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STABILITY OF STANDING WAVES FOR A NONLINEAR SCHRÖDINGER EQUATION UNDER AN EXTERNAL MAGNETIC FIELD.

Authors :
Ardila, Alex H.
Source :
Communications on Pure & Applied Analysis; Jan2018, Vol. 17 Issue 1, p163-N.PAG, 13p
Publication Year :
2018

Abstract

In this paper we study the existence and orbital stability of ground states for logarithmic Schrödinger equation under a constant magnetic field. For this purpose we establish the well-posedness of the Cauchy Problem in a magnetic Sobolev space and an appropriate Orlicz space. Then we show the existence of ground state solutions via a constrained minimization on the Nehari manifold. We also show that the ground state is orbitally stable. [ABSTRACT FROM AUTHOR]

Details

Language :
English
ISSN :
15340392
Volume :
17
Issue :
1
Database :
Complementary Index
Journal :
Communications on Pure & Applied Analysis
Publication Type :
Academic Journal
Accession number :
125443353
Full Text :
https://doi.org/10.3934/cpaa.2018010