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活动预告 京师数学 公众报告 01 A decomposition theorem of surface vector fields and spectral structure of the Neumann-Poincare operator in elasticity 报告题目(Title)： A decomposition theorem of surface vector fields and spectral structure of the Neumann-Poincare operator in elasticity 报告人(Speaker)： Professor Hyeonbae Kang (Inha University,Korea) 地点(Place)： 后主楼 1223 时间(Time)： 2025年 1 月 15 日（周三）15:00-16:00 邀请人（inviter）： Haigang Li,Yanyan Li 报告摘要： We show that vector fields on the boundary of a bounded domain in three dimensions is decomposed into three parts: the first one extends to the inside the domain as a divergence-free and rotation-free vector field, the second one to the outside as a divergence-free and rotation-free vector field, and the third one to both the inside and the outside as divergence-free harmonic vector fields. We apply this decomposition theorem to investigate spectral properties o
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