演讲者：李文娟（西北工业大学）
时间：2022-10-13 09:00-10:00
地点：腾讯会议 ID 762-8544-4212
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 Dr. Huijv Wang and Prof. Dunyan Yan.
In this talk, I will introduce the background of the above convergence problem, and show the main results we have obtained so far.
