06.11.2024, 14:00 - 16:00
– Campus Golm, Building 9, Room 2.22 and via Zoom
Institutskolloquium
Graphon Models for Inhomogeneous Random Graphs
Olga Klopp (Paris), Nicolas Verzelen (Montpellier)
Philipp Bartmann
The behaviour of solutions to elliptic PDE's at the boundary of a domain $\Omega$ depends heavily on the geometry of $\partial\Omega$. One is therefore interested in criteria to $\Omega$ that ensure differentiability, Hölder-continuity or even more regularity up to the boundary.
We will give a brief overview on the classical results in this regard and introduce an optimal geometric condition - so called $\gamma$-convexity - that guarantees differentiability at the boundary.