报告题目：Nodal Sets and Singular Sets for Elliptic and Parabolic PDEs
报告人：黄羿奇 博士（MIT）
主持人：吴成发 副教授
报告时间：2024年12月17日周二16：30-17：30
报告地点：致知楼706
报告摘要：In this talk, we consider solutions to general elliptic and parabolic PDEs. In the first part, we will discuss measure estimates for the singular sets of elliptic solutions. Then, we will explore the evolutionary behavior of the nodal sets of parabolic PDEs, proving both the finiteness of the measure at each time slice in full generality and a new dimension monotonicity. This talk is based on joint work with Wenshuai Jiang.
