Seminars & Colloquia Calendar
A new boundary Harnack principle
Mark Allen, Brigham Young University
Location: Hill 705
Date & time: Wednesday, 27 February 2019 at 1:40PM - 3:00PM
Abstract: The boundary Harnack principle allows one to compare the behavior of two harmonic solutions near the boundary when they both vanish. This principle has proven useful in PDE, harmonic analysis, and free boundary problems. In this talk I will review the principle and some of its applications. I will then introduce a new boundary Harnack principle for super harmonic functions. This new principle has applications to Hele-Shaw flow as well as free boundary problems.