Recent Studies on Inverse Source Scattering Problems
报告题目(Title)：Recent Studies on Inverse Source Scattering Problems
报告人(Speaker)： Li Peijun （普渡大学）
地点(Place)：后主楼1223
时间(Time)：2019年7月11日 10:00-11:00
邀请人(Inviter)：李海刚
报告摘要
The inverse source scattering problems, as an important research subject in inverse scattering theory, have significant applications in diverse scientific and industrial areas such as antenna design and synthesis, medical imaging, and optical tomography. Although they have been extensively studied, some of the fundamental questions, such as uniqueness, stability, and uncertainty quantification, still remain to be answered.
In this talk, our recent progress will be discussed on the inverse source problems for acoustic, elastic, and electromagnetic waves. The stability will be addressed for the the inverse source problems. We show that the increasing stability can be achieved by using the Dirichlet boundary data at multiple frequencies. The stochastic inverse source scattering problems will also be highlighted.
主讲人简介
Li peijun, 美国普渡大学教授、博士生导师，长期致力于偏微分方程的理论与应用、以及相关科学计算与数值分析。具体地，声波、弹性波以及电磁波在复合材料中的传播，光学电磁学中的散射问题与反问题，以及偏微分方程中的解的适定性、最优估计和反问题的研究。曾获得获得NSF资助，也曾获得过美国NSF Career奖和Calderon奖，在《Arch. Rational Mech. Anal.》，《SIAM J. Math. Anal.》，《J. Differential Equ.》等国际主流数学杂志上发表学术论文60余篇。
