题目：Some Energy Estimates for Stable Solutions to Nonlocal Allen Cahn Equations

报告人：Dr. Qinfeng Li

摘要：In this work, we study the fractional Allen-Cahn equation

\begin{align}(-\Delta)^s u=f(u), \quad |u|<1 \quad \mbox{in \mathbb{R}^d},\end{align}

where $s \in (0,1)$. We obtain sharp energy estimates for stable solutions when 0<s<1/2 and rough estimates when 1/2 \le s <1. These lead to a different proof from literature of the fact that when d=2,0<s<1, entire stable solutions to the fractional Allen Cahn equation are 1-D solutions. This is a joint work with Professor Changfeng Gui.

时  间：2019年6月20日（周四）下午4点30分

地  点：西大楼210室

邀请人：杨孝平 老师