分析和微分方程讨论班——Strichartz estimates for the Schrödinger equation on the sphere

报告人：黄晓琦（路易斯安那州立大学）

时间：2025年7月3日，9:30-10:30

地点：海纳苑2幢203室

摘要：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.

联系人：席亚昆（yakunxi@zju.edu.cn）