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# 报告题目：Sequence convergence of Schrodinger means in R2

Tencent会议ID:915 999 703.

We consider sequence convergence of Schrodinger means $e^{it_{n}\Delta}f(x)$ for $f \in H^{s}(\mathbb{R}^{2})$ and decreasing sequences $\{t_{n}\}_{n=1}^{\infty}$ converging to zero. The main theorem improves the previous results of [Sj\olin, JFAA, 2018] and [Sjolin-Stromberg, JMAA, 2020] in $\mathbb{R}^{2}$. This study is based on investigating properties of Schrodinger type maximal functions related to hypersurfaces with vanishing Gaussian curvature. This is joint work with Dr. Huiju Wang and Prof. Dunyan Yan.

2020年10月21