报告题目：The scattering of fractional Schrödinger operators with short range potentials
报 告 人： 黄天骁（中山大学 副教授）
会议 ID：106 472 397
报告摘要: I will first review some basic concepts and classical results in the short range scattering theory for the Schrödinger operator , along with a brief introduction of the short range perturbation theory for simply characteristic operators including the higher order Schrödinger operators typically. Then I will explain how to establish the short range scattering theory for the fractional Schrödinger operator in the full range . When is not even, the challenge comes from the non-local aspect of , and the crucial study of its limiting absorption principle is related to a sharp Fourier restriction property. I will also give explicit examples on the non-existence of wave operators, to show that our short range condition is sharp with respect to the decay assumption on , where the decay threshold is new. This is a joint-work with Rui Zhang and Quan Zheng.
个人简介: 黄天骁本科与博士毕业于华中科技大学数学与统计学院，现为中山大学数学学院（珠海）副研究员，研究方向为调和分析及其在高阶和分数阶色散方程中的应用，主要工作发表于JFA, JDE, CPDE等国际一流期刊。其在高阶薛定谔算子相关的函数空间估计，一致预解式估计，唯一延拓性，散射理论等取得了系列成果，得到国际同行的广泛引用与好评。