A Nekhoroshev type theorem for the nonlinear Schrödinger equation on the d-dimensional torus.

Erwan Faou, Benoit Grebert

We prove a Nekhoroshev type theorem for the nonlinear Schrödinger equation $$ iu_t=-Δu+V\star u+\partial_{\bar u}g(u,\bar u)\, \quad x\in \T^d, $$ where $V$ is a typical smooth pot…