Analysis and PDEs Seminar

Inhomoeneous global minimazers to the one-phase free boundary problem

Speaker:  Daniela de Silva (Columbia University)
Date:  Wednesday, 18 May 2022 - 15:00
Online: (ID: 814 9107 9139; Access code: 937701)


Given a global 1-homogeneous minimazer U to the Alt-Caffarelli energy functional with sing(F(U))={0}, we rpovide a foliation of the half-space with dilations of graphs of global minimazers U_<U<U^ with analytic free boundaries at distance 1 from the origin. This is a joint work with D. Jerison and H. Dhahgholian.