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 seminario 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 talk is
"Structure of the Robin Harmonic Measure on Rough Domains". Please find the abstract below.
See
you soon,
Ilaria
Lucardesi and Luigi Forcella
-----------------------------------
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.