Absolute Continuity of the Robin Harmonic Measure On Rough Domains
Presenter
November 12, 2024
Abstract
The question of asbolute continuity, with respect to the reference measure, of the harmonic measure on a domain with rough boundary has been the object of many important results. Here we ask about the similar question, but where the Dirichlet condition u=0on the boundary is replaced by the softer Robin condition ∂u∂n+au=0 (where, say a greater than 0 is a constant). We describe the connection with the lung and joint work with S. Decio, M. Engelstein, M. Filoche, S. Mayboroda, M. Michetti.