Calculus of Variations and Geometric Measure Theory

Regularity of a free boundary transmission problem with obstacle

Mickael Nahon

created by gelli on 07 Jul 2021

9 jul 2021 -- 11:00   [open in google calendar]

Aula Magna Dipartimento di Matematica

Abstract.

I will present partial regularity result about a problem involving two positive harmonic functions that meet continuously along a free hypersurface, with a "transmission condition" involving the jump between the gradients of the two functions. In particular I will show how we obtain that the free hypersurface at optimum has finite measure and is C{1,a} on the zero set of the harmonic functions.