## 偏微分方程式セミナー(2015/7/13): On the well-posedness for semilinear Schrödinger equations in $H^s$, 方 道元 氏

2015年 　 7月 13日 16時 30分 ～ 2015年 　 7月 13日 17時 30分

In this talk I will show a series of progress, which were obtained by our group during these years about the Cauchy problem for the semilinear Schrödinger equations
$i u_t-\Delta u = c|u|^{\sigma} u$ with the initial value belongs to $H^s(\mathbb{R}^n)$, where $0 < s ≤ \min \{2,\frac{n}{2} \}$, and $0 < \sigma < \frac{4}{n-2s}$.