报告人：李用声（华南理工大学）

报告人简介：李用声，教授，博士生导师，主要从事非线性发展程与无穷维动力系统的研究工作。在国内外重要学术刊物上发表论文80 余篇，其中SCI收录60余篇。先后主持5项国家自然科学基金项目。

报告题目：Pointwise convergence problem of the Korteweg-de Vries-Benjamin-Ono equation。

报告摘要：In this talk we discuss the pointwise convergence problem for the KdV-BO equation. First we prove that the solution u(x,t) converges pointwisely to the initial data f(x) for a.e. $x\in R$ when $f\in H^s(R)$ with $s\geq\frac{1}{4}$. Then we demonstrate that the Hausdorff dimension of the divergence set of points of the solution is $1-2s$ when $\frac{1}{4}\leq s\leq\frac{1}{2}$.Finally we obtain the stochastic continuity for the initial data with much less regularity, i.e. for a large class of the initial data in $L^2(\R)$, via the randomization technique.

报告时间：2020年11月27日（星期五），9:30-11:30

报告地点：腾讯会议ID：632 497 686