题目： Finite Morse Index Solutions of the Allen-Cahn Equation
 

报告人： 王克磊 （武汉大学）
 

摘要：  In this talk I will report a recent proof of the conjecture that finite Morse index solutions of the Allen-Cahn equation in the plane have finitely many ends. I will discuss some ideas in this proof, including the curvature estimate of Schoen type, the uniform second order estimates of clustering interfaces and its connection with Toda systems. This is a joint work with Juncheng Wei.
 

时间：  2017年9月19日 10:15--12:15
 

地点： 蒙民伟楼1105室
 

邀请人： 陈学长 老师