Seminar
Harmonic measure with Robin boundary conditions, Dr. Guy David, Université of Paris - Sud, Mon, 9 February, 2026, 4:15pm CN A-142
Abstract
"We describe the harmonic measure associated to the Robin boundary value problem on rough domains, and in particular, its absolute continuity with respect to the reference measure on the boundary. Here the Robin condition writes: \(\frac{\partial u}{\partial n} + a u = f\) where \(a > 0\) is a constant, and gives nice descriptions of various physical problems, including concerning the human lungs (we may discuss this a little). And rough domains include domains with a d-dimensional boundary, with any \(d \in (n - 2,n)\); we also require non-tangential access for the domain. Also, we will give simple estimates on the ratio of the Robin and Dirichlet Green functions."