Robin harmonic measure with a variable permeability parameter
Abstract
In this paper we study the behavior of the solutions to the Robin problem in bounded 1-sided NTA domains with Ahlfors-David regular boundary, generalizing the results of DavDEMM to the case of a non constant Robin parameter. In particular, we will prove the mutual absolute continuity of the Robin harmonic measure with respect to the surface measure in the setting of variable permeability.
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