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Surface-Localized of Transmission Eigenfunctions in Spherical Regions

发布时间：2026-04-27 作者：浏览次数：

Speaker:	张凯	DateTime:	2026年4月30日（周四）下午15:30-16:30
Brief Introduction to Speaker: 张凯，吉林大学		Place:	国交2号楼315会议室
Abstract:We present a comprehensive study of new discoveries on the spectral patterns of elastic transmission eigenfunctions, including boundary localization, surface resonance, and stress concentration. In the case where the domain is radial and the underlying parameters are constant, we give rigorous justifications and derive a thorough understanding of those intriguing geometric and physical patterns. We also derive sharp spectral density estimates establishing both lower and upper bounds to demonstrate that a significant proportion of transmission eigenfunctions manifest this surface-localizing behavior.