报告时间：2025年7月10日（周四）上午10:00-11:00
报告地点：国交2号楼315会议室
报告人：黄晓琦
报告人简介：Xiaoqi Huang（黄晓琦） is an Assistant Professor in the Department of Mathematics at Louisiana State University. His research focuses on harmonic analysis and its applications to partial differential equations. He has published work in journals such as Invent. Math., the American Journal of Mathematics, Journal of the European Mathematical Society, Communications in Mathematical Physics, and Journal of Functional Analysis, among others.
Abstract:We will discuss optimal space-time estimates in $L^q_{t,x}$ spaces for solutions to the Schrödinger equation on the standard round sphere, which is related to the results of Burq, Gérard and Tzvetkov (2004). The proof is based on the arithmetic properties of the spectrum of the Laplacian on the sphere, as well as local bilinear oscillatory integral estimates in harmonic analysis, which allow us to relate the problem to Strichartz estimate on one-dimensional tori. This is based on joint work with Christopher Sogge.
