Speaker
Description
(Guy David - Université Paris-Saclay - Université de Paris Sud (Orsay))
The main point is to study the (mutual, quantitative) absolute continuity, with respect to a reference measure on the boundary (like surface or Hausdorff measure), of the Robin harmonic (or elliptic) measure in a domain, for solutions of elliptic divergence form equations, i.e. with the Robin boundary condition $\partial_n u +au = f$ at the boundary (instead of the usual Dirichlet condition $u=f$). Here $\partial_n u$ is the normal derivative of a solution $u$. This is a very reasonable condition for application, with features of the Dirichlet and Neumann conditions (we should mention the lung). We also estimate the Green function.
Joint work with S. Decio, M. Engelstein, S. Mayboroda, M. Michetti, M. Filoche.
