题目：Blow-up Dynamics for $L^2$-critical Fractional Schrodinger Equations

报告人：兰洋 (清华大学)

报告时间：4月15日20：50-21：50

报告地点：腾讯会议，点击链接入会，或添加至会议列表：https://meeting.tencent.com/s/UKYPVnqY465e

会议 ID：391 779 031

会议密码：123456

摘要：Abstract: We consider the $L^2$-critical fractional Schrodinger equation $iu_t-|D|^{\beta}u+|u|^{\frac{2\beta}{d}}u=0$ with initial data $u_0\in H^1(\mathbb{R}^d)$ and $\beta$ close to $2$. We will show that the solution blows up in finite time if the initial data has negative energy and slightly supercritical-mass. We will also give a specific description for the blow-up dynamics.