Strichartz estimates and global well-posedness of the cubic NLS on ${\mathbb{T}}^2$

Sebastian Herr, Beomjong Kwak

The optimal $L^4$-Strichartz estimate for the Schr{ö}dinger equation on the two-dimensional rational torus ${\mathbb{T}}^2$ is proved, which improves an estimate of Bourgain. A new m…