Care tutte, cari tutti,
per il prossimo evento del ciclo dei Seminari di Analisi, giovedì 13 marzo alle 17 in Aula Magna, avremo il piacere di ascoltare Marco Michetti (Sapienza Università di Roma), che terrà un seminariohttps://www.dm.unipi.it/seminario/?id=679b71433e96782493b4eb49 dal titolo "Structure of the Robin Harmonic Measure on Rough Domains”. Trovate l'abstract qui sotto.
A presto, Ilaria Lucardesi e Luigi Forcella
----------------------------------- Dear all, on Thursday March 13th at 5PM in Aula Magna, for the Mathematical Analysis Seminar, we will have the pleasure of listening to Marco Michetti (Sapienza Università di Roma). The title of the talkhttps://www.dm.unipi.it/seminario/?id=679b71433e96782493b4eb49 is "Structure of the Robin Harmonic Measure on Rough Domains". Please find the abstract below.
See you soon, Ilaria Lucardesi and Luigi Forcella
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Speaker: Marco Michetti (Sapienza Università di Roma)
Title: Structure of the Robin Harmonic Measure on Rough Domains
Abstract: In this talk we will present the Robin harmonic measure and how it behaves on non smooth domains. In particular we will prove that, in contrast with respect to the Dirichlet case, Robin harmonic measure is quantitatively mutually absolutely continuous with respect to the surface measure on any Ahlfors regular set in any (quantifiably) connected domain for any elliptic operator. This stands in contrast with analogous results for the Dirichlet boundary value problem where rectifiability is necessary in order to have mutual absolute continuity. Moreover Robin harmonic measures exhibit no dimension drop that is a classical phenomenon in the Dirichlet counterpart. This is a joint work with: Guy David, Stefano Decio, Max Engelstein and Svitlana Mayboroda.