講座主題：Uniqueness of the inverse transmission scattering with a conductive boundary condition
專家姓名：嚴國政
工作單位：華中師范大學
講座時間：2022年5月26日9：00-10：00
講座地點：騰訊會議,會議ID：607257736
主辦單位：煙臺大學數學與信息科學學院
內容摘要：
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.
主講人介紹：
嚴國政，長期從事偏微分方程及其應用方面的研究工作。特別有多年研究聲波和電磁波散射與逆散射問題的經驗。多次獲得國家自然科學基金的支持。目前發表相關研究論文60余篇。
