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A novel and application-oriented inverse nodal problem in Sturm-Liouville operators

活动时间:2025-09-12 10:00

活动地点:2号学院楼松2432

主讲人:夏永辉

主讲人中文简介:

夏永辉,男,现为佛山大学教授,2024年8月前原为浙江师范大学“杰出学者”特聘教授,博士生导师。入选“闽江学者特聘教授” 2017年获“福建青年科技奖”;获省部级科技进步奖3项。已主持国家基金项目4项(其中3项面上项目,青年1项),参与国家基金重点项目1项,已主持浙江省重点1项。在JDE, JDDE, Proc.Roy. Edinburg Section A, SIAM J. Appl. Math., Studies in Appl. Math., Phy. Rev. E, J. Phys. A.等杂志上发表系列论文。

活动内容摘要:

This paper develops a method for addressing a novel and application-oriented inverse nodal problem in Sturm-Liouville operators, having significant applications in seismic wave analysis and submarine underwater radar (sonar) detection. Unlike previous works who rely on a dense subset of the nodal set, we propose an optimization framework that recovers the potential $\hat{q}$ from merely a finite set of nodal data, achieving optimal approximation to the target potential $q_0$ while satisfying the nodal constraints. (joint with Yuchao He, Mengda Wu and Meirong Zhang)

主持人:吴潇