Andreas Minne: Obstacle-Type Problems in the Subelliptic Setting

Abstract: The obstacle problem is one of the most famous problems in the field of Free Boundary Problems. In this talk we briefly present some classical results of the optimal regularity of solutions, and then show our recent theorem; namely that the optimal regularity can be achieved also in the subelliptic setting for related problems, but without any sign assumptions. Key ideas are the use of BMO-estimates, and a decay estimate for the so-called coincidence set. These results have been obtained in collaboration with Valentino Magnani (Universita di Pisa).

This seminar is part of the KTH–Uppsala PDE days .