Finite Morse Index Solutions of the Allen-Cahn Equation

报告人:王克磊教授(武汉大学)
报告时间地点：3月10日 本周六下午 16-17点 院楼425
报告题目：Finite Morse Index Solutions of the Allen-Cahn Equation

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.