报告人：杨家青 教授（西安交通大学）

题目：Uniqueness for inverse transmission problems with a conductivity boundary condition

会议时间：2022/07/04 14:00-16:00 (GMT+08:00)中国标准时间-北京

https://meeting.tencent.com/dm/TII9CdEj5n65

#腾讯会议：190-560-164

摘要：

This talk is concerned with the inverse scattering of time-harmonic acoustic waves by a bounded penetrable obstacle with a conductive boundary, which may contain embedded objects inside. We proved the well-posedness of the transmission problem with L^p boundary data, and illustrate in detail the singularity of solutions corresponding to a family of incident point sources or hypersingular point sources. With these results, we proposed a novel technique to prove that the penetrable obstacle can be uniquely recovered by the acoustic far-field pattern at a fixed frequency, ignoring its contents. Moreover, the physical coefficients appearing in the mathematical model can also be uniquely determined at the boundary of the penetrable obstacle.

报告人简介：

杨家青，西安交通大学数学与统计学院教授，研究方向为反问题的数学理论与计算方法。在Inverse Problems, SIAM J. Appl. Math., SIAM J. Numer. Anal., SIAM J. Sci. Comput., SIAM J. Imag. Sci., JCP, JDE等国际期刊发表学术论文30余篇。2017年入选陕西省百人计划青年项目；2018年获得中国工业与应用数学学会“应用数学青年科技奖”；2021年获得国家自然科学基金优秀青年科学基金资助。