Speaker：Huijv Wang（Henan University）

Time：2022-09-16, 15:30

Location：Tencent Meeting ID：279-804-861（No Password）

Abstract:

For decreasing sequences $\{t_{n}\}_{n=1}^{\infty}$ converging to zero, we obtain the almost everywhere  convergence results for sequences of Schr\"{o}dinger means $e^{it_{n}\Delta}f$, where $f \in H^{s}(\mathbb{R}^{N}), N\geq 2$. The convergence results are sharp up to the endpoints, and the method can also be applied to get the convergence results for the fractional Schr\"{o}dinger means and nonelliptic Schr\"{o}dinger means. This is a joint work with Prof. Wenjuan Li and Prof. Dunyan Yan.