Global well-posedness and polynomial bounds for the defocusing $L^2$-critical nonlinear Schrödinger equation in $\mathbb{R}$

Daniela De Silva, Nataša Pavlović, Gigliola Staffilani +1

We prove global well-posedness for low regularity data for the one dimensional quintic defocusing nonlinear Schrödinger equation. Precisely we show that a unique and global solutio…