报告题目：Blow up analysis of solutions of Fujita equation

报告摘要：In this talk, we will discuss the properties of weighed energy of self similar solutions to the Fujita equation when $p>(n+2)/(n-2)$. We will show that among bounded positive self similar solutions, the constant solution has the lowest weighted energy. As an application, we will show that if $p>(n+2)/(n-2)$ and $u$ is a type I finite time blow up solution, then the intersection of the blow up set with any ball is contained in a $(n-1)-$ rectifiable set together with a set of Hausdorff dimension at most $n-3$. This is a joint work with professor Kelei Wang and Juncheng Wei.

报告人简介：吴轲，武汉大学博士后 (合作导师：王克磊教授)，目前主要研究方向是非线性偏微分方程，在CVPDE、JDE、DCDS等期刊发表SCI论文多篇。

报告时间：2024年08月02日 11:00-12:00

报告地点：同析4号楼 322会议室