Harmonic Analysis tools for Free Boundary problems
Geometric Aspects of Nonlinear Partial Differential Equations
13 September 14:00 - 15:00
Max Engelstein - University of Minnesota
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.
KTH Royal Institute of Technology
University of Turin