报告题目： Direct and inverse scattering problems for the Schrodinger-type operators

报 告 人： 赵越 副教授 华中师范大学  

报告时间：2025年12月22日，10:00-11:00

报告地点：腾讯会议 731867880

校内联系人： [email protected] 邮箱

报告摘要：In this talk, we discuss direct and inverse scattering problems for the Schrodinger-type operators. For the direct problem, we investigate the meromorphic continuation of the resolvent of the classical Schrodinger operator with an unbounded potential. A logarithmic resonance-free region together with resolvent estimates in this region are derived. Relevant results on the fractional Schrodinger operator are also presented. For the inverse problem, we derive an increasing stability for the inverse potential scattering problem. By using multi-frequency data, the stability is obtained by establishing integral identities, resolvent estimates and analytic continuation. As a consequence, we do not use the construction of unphysical CGO solutions and thus the developed method can be used to deal with two-dimensional case. Further, the stability is extended to the magnetic Schrodinger equation for which the determination of both the magnetic and electric potentials is investigated. Our recent results on inverse random scattering problems will also be reported.

报告人简介： 赵越， 2017年毕业于美国普渡大学获博士学位，现任华中师范大学副教授。其研究方向为波动方程的正反散射问题。