Bilinear Strichartz estimates and almost sure global solutions for the nonlinear Schr{ö}dinger equation

Nicolas Burq, Aurélien Poiret, Laurent Thomann

The purpose of this article is to construct global solutions, in a probabilistic sense, for the nonlinear Schr{ö}dinger equation posed on ${\mathbb{R}}^d$, in a supercritical regime.…