Global well-posedness for the defocusing 3D quadratic NLS in the sharp critical space

Jia Shen, Yifei Wu

In this paper, we prove the global well-posedness of defocusing 3D quadratic nonlinear Schrödinger equation \begin{align*} i\partial_t u + \frac12Δu = |u| u, \end{align*} in its sh…