Global well-posedness for the defocusing 3D quadratic NLS in the sharp
critical space
Global well-posedness for the defocusing 3D quadratic NLS in the sharp
critical space
In this paper, we prove the global well-posedness of defocusing 3D quadratic nonlinear Schr\"odinger equation \begin{align*} i\partial_t u + \frac12\Delta u = |u| u, \end{align*} in its sharp critical weighted space $\mathcal F \dot H_x^{1/2}$ for radial data. Killip, Masaki, Murphy, and Visan [2017, NoDEA] have proved its global well-posedness …