Mar 20 – 22, 2024
Institut de Mathématiques de Toulouse
Europe/Paris timezone

The Robin Harmonic Measure on non smooth domains

Mar 22, 2024, 11:25 AM
30m
Amphithéâtre Laurent Schwartz, bâtiment 1R3 (Institut de Mathématiques de Toulouse)

Amphithéâtre Laurent Schwartz, bâtiment 1R3

Institut de Mathématiques de Toulouse

118 route de Narbonne\n31062 Toulouse Cedex

Speaker

Marco Michetti

Description

We analyze the boundary behavior of solutions to elliptic PDE with prescribed Robin data in rough domains. In particular, we construct a ``Robin elliptic measure" and demonstrate the suprising fact that this measure is (quantitatively) mutually absolutely continuous with respect to surface measure on a wide class of domains that includes the complement of certain fractals.

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