报告时间：2024年5月11日（星期六）15:00-16:00

报告地点：理学楼609报告厅

报告题目：Unique and stable determination of obstacles by finite many far-field measurements

报告摘要: In this talk, I will discuss the uniqueness and stability aspects of identifying obstacles using a finite number of far-field measurements. Uniqueness is primarily contingent upon the unique geometric structure exhibited by Laplacian eigenfunctions near corners. We achieve stable determination of convex polygonal impedance obstacles through a single far-field measurement. Our stability estimates establish explicit relationships between the geometric characteristics of the obstacle and the order of vanishing of the wave field at specific corner points.      

报告人简介：刁怀安，吉林大学数学学院教授，博士生导师，博士毕业于香港城市大学，研究兴趣为数学物理反问题、偏微分算子谱理论、数值代数，在J. Math. Pures Appl.、Calc. Var. Partial Differential Equations、Comm. Partial Differential Equations、SIAM J. Math. Anal.、SIAM J. Appl. Math.、J. Differential Equations、Math. Comp.、Inverse Problems等国际主流期刊以及机器学习领域顶级会议NeurIPS 2019发表科研论文50余篇，目前主持国家自然科学基金面上项目一项，担任Journal of Nonlinear Mathematical Physics与Communications on Analysis and Computation杂志编委。