Microsoft Teams, Online seminar
(線上演講 微軟 共同作業軟體)
Second Order Estimates for Interfaces of Allen-Cahn
Juncheng Wei (University of British Columbia)
In this talk, I will discuss a uniform estimate for level sets of stable solutions to the singularly perturbed Allen-Cahn equation in dimensions (which is optimal). The proof combines two ingredients: one is a reverse application of the infinite dimensional Lyapunov-Schmidt reduction method which enables us to reduce the estimate for these level sets to a corresponding one on solutions of Toda system; the other one uses a small regularity theorem on stable solutions of Toda system to establish various decay estimates, which gives a lower bound on distances between different sheets of solutions to Toda system or level sets of solutions to Allen-Cahn equation. (Joint work with Kelei Wang.)
Registration through the seminar website https://sites.google.com/ncts.ntu.edu.tw/international-gmt-seminar required.