Surface-Localized of Transmission Eigenfunctions in Spherical Regions
来源：
发布时间：2026-05-15
报告时间：- 2026年4月30日 （周四）下午15:30-16:30
- 报告地点：
- 国交2号楼315会议室
- 报告人：
- 张凯
- 报告人单位：
- 吉林大学
- 邀请人：
- 程婷
- 摘要：
- 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.
张凯（吉林大学）
