07-03【李岩岩】五教5206 偏微分方程系列报告

发布者:徐明巧发布时间:2024-07-01浏览次数:150

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.