Asymptotic behavior of mass-critical Schrödinger equation in $\mathbb{R}$

Fanfei Meng, Yilin Song, Ruixiao Zhang

In this paper, we study the long-time behavior for the mass-critical nonlinear Schrödinger equation on the line \[ i\partial_t u + \partial_x^2 u = |u|^4 u, u(0, x) = u_0 \in L_x^…