演講者：林奕亘 教授

　　　　國立交通大學應用數學系

日　期：2020年12月9日（星期三）14:30

地　點：國立高雄大學理學院408室

講　題：Monotonicity-Based Inversion of the Fractional Schrödinger Equation

摘   要：

We consider an inverse problem for the fractional Schrödinger equation by using monotonicity formulas. We provide if-and-only-if monotonicity relations between positive bounded potentials and their associated nonlocal Dirichlet-to-Neumann maps. Based on the monotonicity relation, we can prove uniqueness for the nonlocal Calderón problem in a constructive manner. Secondly, we offer a reconstruction method for an unknown obstacles in a given domain. Our method is independent of the dimension and only requires the background solution of the fractional Schrödinger equation.

This is a joint work with Bastian von Harrach