Invited by School of Mathematics and Statistics, Prof. Junyong Zhang from Beijing Institute of Technology will give a lecture.

Title: The spectral measure of a kind of conical singular Schrodinger operator and applications

Time: 9:20 a.m.,Aug. 3rd, 2021

Location: Room 518, Polytechnic building

Abstract:In this talk, we will talk about the spectral measure of a kind of conical singular Schrodinger operator. In particular, we consider the Schrodinger operator on a flat cone or perturbed by scaling-critical electromagnetic potentials including Aharonov-Bohm and inverse-square potentials. As applications, we present the dispersive estimates and Strichartz estimates and resolvent estimates in these setting. These are based on several joint papers with L. Fanelli(Bilbao), X. Gao(BIT), J. Wang(BIT), Z. Yin(BIT), J. Zheng(IAPCM).