题      目: Convergence properties for Schrodinger operators along tangential curves

报 告 人: 李文娟副教授（西北工业大学）

时      间：2022-11-22 14：00-15：00 (周二下午)

地      点:  腾讯会议 ID：637 864 654

摘      要: In this paper, we consider convergence properties for generalized Schrodinger operators along tangential curves with less smoothness than curves with Lipschitz condition. Firstly, it was open until now on point-wise convergence of solutions to the Schrodinger equation along non-C^1 curves in higher dimensional case (n2), we obtain the corresponding results along a class of tangential curves in R^2 by the broad-narrow argument and polynomial partitioning. Secondly, we get the convergence result in R along a family of tangential curves. As a consequence, we obtain the sharp upper bound for p in L^p-Schrodinger maximal estimates along tangential curve, when smoothness of the function and the curve are fixed. This is a joint work work with Prof. Huiju Wang.

报告人简介: 李文娟, 西北工业大学数学与统计学院副教授，硕导，博士生副导师。2018年入选陕西省高层次人才青年项目，2019年入选西北工业大学“翱翔新星”。2022年获陕西省数学会青年教师优秀论文一等奖。2015年博士毕业于德国基尔大学，师从著名调和分析专家Detlef Müller教授（ICM报告人）。目前主持国家自然科学基金面上项目、陕西省高层次人才青年项目等。主要研究调和分析中奇异积分算子、多线性算子、Fourier积分算子等的有界性估计等，已在J. Math. Pure.Appl.，J. Funct. Anal.，J. Fourier Anal. Appl.，Studia Math.等国际知名数学期刊上发表高水平论文近二十篇。曾多次应邀访问美国伊利诺伊大学香槟分校、印第安纳大学伯明顿分校、德国基尔大学等。

欢迎大家参加！