Scattering for NLS in $\mathbb{R}^d\times \mathbb{T}$
We consider the nonlinear Schrödinger equation in the partially periodic setting $\mathbb{R}^d\times \mathbb{T}$. We present some recent results obtained in collaboration with N. Tzvetkov concerning the Cauchy theory and the long-time behavior of the solutions.
nonlinear Schrödinger equation - Cauchy theory - scattering