Global H1 solvability of the 3D logarithmic Schrödinger equation

In this paper we investigate the existence of a unique global mild solution in $H^1\left({\mathbb{R}}^3\right)$ of the initial-boundary value problem associated with the logarithmic Schrödinger equation $i{?}_t\psi =?D\Delta \psi +\sigma \log \left(\right|\psi {|}^2)\psi$, with $D>0$ and $\sigma \in \mathbb{R}?\left\{0\right\}$.