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Max Engelstein: Harmonic Analysis tools for Free Boundary problems

Time: Tue 2022-09-13 14.00 - 15.00

Location: Institut Mittag-Leffler, Seminar Hall Kuskvillan and Zoom

Video link: Meeting ID: 921 756 1880

Participating: Max Engelstein (University of Minnesota)

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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.