Blow-up dynamics for $L^2$-critical fractional Schrödinger equations

Yang Lan

In this paper, we will consider the $L^2$-critical fractional Schrödinger equation $i{u}_t-|D{|}^{\beta }u+|u{|}^{2\beta }u=0$ with initial data $u_0\in H^{\beta /2}(\mathbb{R})$ and $\beta$ close to $2$. We…