Modified scattering for the cubic Schr{ö}dinger equation on product spaces: the nonresonant case

Benoît Grébert, Eric Paturel, Laurent Thomann

We consider the cubic nonlinear Schr{ö}dinger equation on the spatial domain $\mathbb{R}\times {\mathbb{T}}^d$, and we perturb it with a convolution potential. Using recent technique…