報告承辦單位: 數學與統計學院
報告內容: Inverse Source Problems for Wave Propagation
報告人姓名: 李培軍
報告人所在單位: 美國普渡大學數學系
報告人職稱/職務及學術頭銜: 教授
報告時間: 2019年5月25日周六下午4:30－5:30
報告地點: 云塘校區理科樓A-419
報告人簡介: 李培軍,2005博士畢業于美國密西根州立大學,現任普渡大學數學系教授。主要從事科學計算、數值分析和偏微分方程反問題等的工作,特別是光學、電磁學和波動方程中正反散射問題的研究。先后承擔和主持了5項美國國家自然科學基金項目,發表論文80余篇。曾獲美國國家自然科學基金杰出獎項(NSF Career Award)及 2015 年度Calderon Prize。
報告摘要：The inverse source 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. I will present a new approach to solve the stochastic inverse source problems. The stability will be addressed for the deterministic counterparts of the inverse source problems. We show that the increasing stability can be achieved by using the Dirichlet boundary data at multiple frequencies.
