报告名称：Lp boundedness of wave operators for high-order Schrödinger operators on the line

报告专家：李平 副教授

专家所在单位：长江大学

报告时间：2024年7月8日 10：00

报告地点: 数统学院

专家简介：

李平，长江大学信息与数学学院，副教授，目前主持国家基金面上项目一项；研究方向为调和分析及其应用、非交换调和分析；近年来聚焦于高阶薛定谔算子的色散估计、高阶波方程的色散估计、非交换调和分析的研究，取得了一系列原创性成果，这些成果部分发表于Journal of Functional Analysis，J. Diffferential Equations, Communications on Pure and Applied Analysis等期刊上。

报告摘要：

In this talk, we are mainly devoted to investigating the Lp boundedness of wave operators $W_\pm$ associated with high-order Schrödinger operators $H=(-\Delta)^m+V(x)$ with $m \geq 3$ in dimension one when zero is a regular point. Under a suitable decay condition on potential V, we established a general conclusion covering the already known results for the cases m=1,2 by a unified method. This work is joint with S. Chen, S. Huang and X. Yao.