Global attractor for damped forced nonlinear logarithmic Schrödinger equations

Abstract

We consider here a damped forced nonlinear logarithmic Schrodinger equation in \begin{document}$ \mathbb{R}^N $\end{document} . We prove the existence of a global attractor in a suitable energy space. We complete this article with some open issues for nonlinear logarithmic Schrodinger equations in the framework of infinite-dimensional dynamical systems.