Landis-type conjecture for the fractional Schrodinger operator
报告题目(Title)：Landis-type conjecture for the fractional Schrodinger operator
报告人(Speaker)：Jenn-Nan Wang （台湾大学）
地点(Place)：后主楼1223室
时间(Time)：2019年6月9日 10:00-11:00
邀请人(Inviter)：李海刚
报告摘要
In this talk, I would like to discuss Landis-type conjecture for the fractional Schrodinger operator. This conjecture is closely related to uniqueness estimates for the strong unique continuation property and the unique continuation at infinity. These kinds of estimates are useful in understanding the local and global properties of the solution. For the classical Schrodinger operator, these estimates have been extensively studied and successfully applied to other problems. Recently, the study of the local properties of solutions to the fractional equation became possible thanks to the Caffarelli-Silvestre extension theorem. For the fractional Schrodinger operator, we are especially interested in the dependence of the estimates on the size of the potential.
主讲人简介
王振男，台湾大学教授、博士生导师。长期从事偏微分方程、数值计算、反问题等方面的理论和应用研究，在分数阶Schrodinger方程，Lame系统，传导问题以及Navier-Stokes方程等方面取得众多重要成果。在Arch. Rational Mech. Anal.、Trans. Amer. Math. Soc.、J. Functional Analysis、Comm. Partial Differential Equations、SIAM J. Math. Anal.、Inverse Problems等国际著名学术刊物发表论文70多篇。
