About Speakers Schedule School of Mathematical Sciences, SJTU INS,SJTU
分析与偏微分方程研讨会

Nondegeneracy for stable solutions to one phase free boundary problem

Speaker

Kelei Wang , Wuhan University

Time

23 Oct, 14:45 - 15:25

Abstract

Since the seminal work of Alt-Caffarelli in 1981, the one phase free boundary problem has been studied by many people. To study the regularity and singularity of free boundaries, the blow up analysis is a standard method. It turns out for this free boundary problem, the nondegeneracy condition is crucial for the application of this method. Although the nondegeneracy condition has been known for energy minimizers for a long time, it’s not true for general solutions. In this talk, I will discuss a proof of the nondegeneracy for stable solutions. This is based on a joint work with N. Kamburov.