Special Session 52: Harmonic Analysis and Partial Differential Equations

Neumann Boundary Regularity for Free Boundary Problems

Sarah Raynor
Wake Forest University
USA
Co-Author(s):    T. Beck, D. Jerison, G. Moon
Abstract:
In this talk we will analyze the regularity of solutions to the free boundary problem of Alt-Caffarelli-Friedman near a fixed boundary with Neumann fixed boundary conditions,. We will compare several recent works in two dimensions (with Gary Moon) and in three dimensions (with Thomas Beck and David Jerison).