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吉林大学刁怀安教授学术报告通知
发布人:张艺芳  发布时间:2024-05-07   浏览次数:58

 

报告时间:2024511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002资讯网教授,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 PhysicsCommunications on Analysis and Computation杂志编委。