Electronic Journal of Differential Equations, Vol. 2023 (2023), No. 76, pp. 1-20.

Title: Stability of ground states of nonlinear Schrodinger systems
       
Author: Liliana Cely (Univ. of Sao Paulo, Brazil)
         
Abstract:
In this article, we study existence and stability of ground states for a
system of two coupled nonlinear Schrodinger equations with logarithmic
nonlinearity. Moreover, global well-posedness is verified for the Cauchy
problem in $H^{1}(\mathbb{R})\times H^{1}(\mathbb{R})$ and in an appropriate
Orlicz space.

Submitted March 16, 2023. Published November 01, 2023.
Math Subject Classifications: 35Q55, 35Q40.
Key Words: Nonlinear Schrodinger system; global well-posedness; stability; ground states.