题目：Gradient estimates for the insulated conductivity problem

报告人：李岩岩（77级校友、罗格斯大学数学系杰出教授）

时间：2024年7月3日（周三）16：30-17：30

地点：第五教学楼5206教室

摘要：

We study the insulated conductivity problem with inclusions embedded in a bounded domain in $n$-dimensional Euclidean space. The gradient of solutions may blow up as $\epsilon$, the distance between inclusions, approaches to 0.  Optimal gradient estimates were known in dimension n=2. We establish optimal gradient estimates in dimensions n\ge 3. These are joint works with Hongjie Dong and Zhuolun Yang.