报告人：王明（中南大学）

报告时间：2026年6月15日（星期一）21:00-22:30

报告地点：腾讯会议：209-369-443

报告摘要：This talk is concerned with observability inequalities at two distinct time points for the linear KdV (Airy) equation on the real line. We investigate when the L2 norm of the initial data can be controlled by the L2 norms of the data and the solution restricted to half-lines. Our results reveal a striking asymmetry: the inequality holds if and only if the observation regions are a right half-line for the initial data and a left half-line for the solution at a later time. For this admissible configuration, we provide an explicit observability constant with optimal exponential growth in the half-line thresholds. The failure of all other half-line configurations is also demonstrated via counterexamples. Extensions to Airy flows with lower-order Gevrey regular coefficients are discussed.

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