Small-time approximate controllability of the logarithmic Schr\''dinger equation

Karine Beauchard, Rémi Carles, Eugenio Pozzoli

We consider Schr{ö}dinger equations with logarithmic nonlinearity and bilinear controls, posed on ${\mathbb{T}}^d$ or ${\mathbb{R}}^d$. We prove their small-time global $L^2$-approxima…