Abstract for the talk on 14.02.2022 (14:00 h)
Arbeitsgemeinschaft ANGEWANDTE ANALYSISMickaël Nahon (Université Savoie Mont Blanc)
Free boundary transmission problem with obstacle
In this talk I will present recent works done in collaboration with B. Velichkov about the regularity of a free boundary problem that involves two positive harmonic functions glued along a free hypersurface with a so-called "transmission condition" in the jump of the derivative. I will explain in particular an epiperimetric inequality method that is an efficient way to obtain C^1 regularity.