讲座主题：Uniqueness of the inverse transmission scattering with a conductive boundary condition

专家姓名：严国政

工作单位：华中师范大学

讲座时间：2022年5月26日9：00-10：00

讲座地点：腾讯会议,会议ID：607257736

主办单位：烟台大学数学与信息科学学院

内容摘要：

This paper considers the inverse acoustic wave scattering by a bounded penetrable obstacle with a conductive boundary condition. We will show that the penetrable scatterer can be uniquely determined by its far-field pattern of the scattered field for all incident plane waves at a fixed wave number. In the first part of this paper, adequate preparations for the main uniqueness result are made. We establish the mixed reciprocity relation between the far-field pattern corresponding to point sources and the scattered field corresponding to plane waves. Then the well-posedness of a modified interior transmission problem is deeply investigated by the variational method. Finally, the a priori estimates of solutions to the general transmission problem with boundary data in With boundary data

are proven by the boundary integral equation method. In the second part of this paper, we give a novel proof on the uniqueness of the inverse conductive scattering problem.

主讲人介绍：

严国政，长期从事偏微分方程及其应用方面的研究工作。特别有多年研究声波和电磁波散射与逆散射问题的经验。多次获得国家自然科学基金的支持。目前发表相关研究论文60余篇。