题目：Determining a Random Schroedinger Equation with Unknown Source and Potential

报告人：李景治 教授（南方科技大学）

地点：腾讯会议室

时间：2020年6月30日(周二)上午 10：00-11：00

摘要：This talk studies the direct and inverse scattering problem associated with a time-harmonic random Schroedinger equation with a Gaussian white noise source term. We estab-lish the well-posedness of the direct scattering problem and obtain three uniqueness results in determining the variance of the source term, the potential and the mean of the source term, sequentially, by the corresponding far-field measurements. The first one shows that a single realization of the passive scattering measurement can uniquely recover the variance of the source term, without knowing the other two unknowns. The second shows that if active scat-tering measurement is further used, then a single realization can uniquely recover the potential function without knowing the source term. The last one shows that if full measurements are used, then both the potential and the random source can be uniquely recovered.

腾讯会议室

https://meeting.tencent.com/s/pOvCCznFaJG5

ID：883 247 162

密码：123456

报告人简介：李景治教授，于2001年取得武汉大学数学学士学位，于2004年取得武汉大学计算机科学硕士学位，于2009年取得香港中文大学数学哲学博士学位。随后在苏黎世联邦理工大学攻读博士后，先后在中国科学院，深圳先进技术研究院进行研究工作，2012年到南方科技大学任教，现为南方科技大学数学系教授。 获得南方科技大学“优秀科研奖” ，南方科技大学“优秀导师奖”以及香港数学会最佳博士论文奖等，先后发表论文三十余篇。

欢迎各位参加！