Harmonic Analysis tools for Free Boundary problems

Date: 2022-09-13

Time: 14:00 - 15:00

Zoom link: https://kva-se.zoom.us/j/9217561880


Max Engelstein


In this talk we will review some recent and not so recent work
in which we apply tools and ideas from harmonic analysis and geometric measure theory to study (almost-)minimizers to free boundary problems of Alt-Caffarelli-Friedman type. In particular we will show how the regularized distances of David-Feneuil-Mayboroda can be used to produce (counter-)examples regarding the behavior of cusp points in two-phase free boundary problems. This is joint work with Guy David, Mariana Smit Vega Garcia and Tatiana Toro.