报告题目:Increasing stability in the linearized inverse Schrodinger

报告人：陆帅

报告时间：2022年09月14日 10:00－11:00

报告地点：腾讯会议：822-153-830 会议密码：202209

摘要：Inverse Schrodinger potential problem concerns about the recovery of a potential function in the Schrodinger equation in a bounded domain throught the DtN map. In this talk, we introduce the linearized DtN map, and prove a stability estimate with explicit dependence on wavenumbers. This is an increasing stability result, in the sense that the logarithmic stable term decays when wavenumber increases. The talk is based on joint works with Victor Isakov (Wichita), Mikko Salo (Jyvaskyla), Boxi Xu (SUFE) and Sen Zou (Fudan).  

报告人介绍：陆帅，复旦大学数学科学学院教授，主要从事数学物理反问题计算方法与数学理论的研究，特别是反问题正则化方法收敛性分析及偏微分方程反问题稳定性理论等。至今在Inverse Problems、SIAM系列、Numer. Math.、Math. Comp.等权威期刊共发表学术论文五十余篇，合作出版英文学术专著一本。2019年获得国家杰出青年科学基金资助，现任《Inverse Problems》的编委。

邀请人：张磊