Stability of standing waves for logarithmic Schr\"odinger equation with attractive delta potential
Analysis of PDEs
2016-08-25 v2
Abstract
We consider the one-dimensional logarithmic Schr\"odinger equation with a delta potential. Global well-posedness is verified for the Cauchy problem in H1(R) and in an appropriate Orlicz space. In the attractive case, we prove orbital stability of the ground states via variational approach.
Keywords
Cite
@article{arxiv.1605.05372,
title = {Stability of standing waves for logarithmic Schr\"odinger equation with attractive delta potential},
author = {Jaime Angulo Pava and Alex Hernandez Ardila},
journal= {arXiv preprint arXiv:1605.05372},
year = {2016}
}
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24 pages