报告人：王明（中南大学）

报告时间：2026年6月15日（星期一）19:00-21:00

报告地点：腾讯会议：209-369-443

报告摘要：We study the exponential decay of the L2 energy for linear KdV-type equations on the torus, where the damping term is localized on a measurable subset of space-time of positive measure. Under a natural blockwise precompactness assumption on the damping coefficient, we establish uniform observability inequalities and deduce exponential decay. The proof relies on a refined harmonic analysis approach that goes beyond the classical moment method and compactness-uniqueness method, allowing the control/observation region to be merely measurable in both time and space.  

报告人简介：王明，中南大学教授，博士生导师，主要从事调和分析与偏微分方程理论方面的研究，在薛定谔方程的唯一延拓性不等式、KdV方程的解析半径下界估计、耗散系统的吸引子等主题上得到了一些新结果，共发表SCI论文40余篇，部分发表在JEMS，CMP，JMPA，SIMA，IUMJ，JDE等期刊上。主持国自科基金面上项目2项和青年基金1项，博士后基金特别资助和一等资助各1项。

邀请人：李东方