Global Well-Posedness for the $L^2$-critical nonlinear Schrödinger equation in higher dimensions

Daniela De Silva, Natasa Pavlovic, Gigliola Staffilani +1

The initial value problem for the $L^2$ critical semilinear Schrödinger equation in ${\mathbb{R}}^n,n\ge 3$ is considered. We show that the problem is globally well posed in $H^{s}({\Bb…