Speaker: Prof. Ting Zhou（周婷教授）

Time: 11:00-12:00, 30 November 2023 (Thursday) (Beijing time)

Venue: 华信书院，CC126

Tencent Meeting ID: 469-482-234

Abstract

In this talk, I will demonstrate the higher order linearization approach to solve several inverse boundary value problems for nonlinear PDEs, modeling for example nonlinear optics, including nonlinear magnetic Schrodinger equation and time-dependent Schrodinger equation. Considering partial data problems, the problem will be reduced to solving for the coefficient functions from their integrals against multiple linear solutions that vanish on part of the boundary. We will focus our discussion on choices of linear solutions and some microlocal analysis tools and ideas in proving injectivity of the coefficient function from its integral transforms such as the FBI transform.

About Prof. Zhou

周婷教授，博士毕业于美国华盛顿大学数学专业，师从国际反问题著名专家Gunther Uhlmann。毕业后先后在美国麻省理工学院数学系担任CLE Moore Instructor，在美国东北大学担任副教授职位。现于浙江大学数学科学学院任长聘教授。其学术成果受到Alfred P. Sloan Foundation的肯定，于2015年被选为Alfred P. Sloan Research Fellow，两次获得美国国家科学基金（NSF）数学方向的3年研究项目奖项，并于2020年荣获Simons Fellowship的奖项。周婷教授的主要学术研究方向是以医学成像、地质勘测等为应用，通过微分方程、积分几何、散射理论、傅立叶分析、微局部分析等数学理论，分析波与介质的交互并反演出介质内部性质的研究。另外，此类问题衍生出的基于变换光学的隐形材料的设计理念也为其研究的重点之一。