Almost global existence for some nonlinear Schr{ö}dinger equations on ${\mathbb{T}}^d$ in low regularity

Joackim Bernier, Benoît Grébert

We are interested in the long time behavior of solutions of the nonlinear Schr{ö}dinger equation on the $d$-dimensional torus in low regularity, i.e. for small initial data in the…