*主持人：朱升峰 副教授
*时间：2020年10月28日14:30-15:30
*地点：腾讯会议ID：225 847 143

*讲座内容简介：
We investigate recovery of the (Schrodinger) potential function from many boundary measurements at a large wave number. By considering such a linearized form, we obtain a Holder type stability which is a big improvement over a logarithmic stability in low wave numbers. Furthermore, we extend the discussion to the linearized inverse Schrodinger potential problem with attenuation, where an exponential dependence of the attenuation constant is traced in the stability estimate.

Based on the linearized problem, a reconstruction algorithm is proposed aiming at the recovery of the Fourier modes of the potential function. By choosing the large wave number appropriately, we verify the efficiency of the proposed algorithm by several numerical examples. It is a joint work with Victor Isakov (Wichita) and Boxi Xu (SUFE).

*主讲人简介：
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。