Oberseminar AG Mathematische Modellierung

Montag, den 15.04.2024 um 17.00 Uhr in B7-210 - Seminarraum A

Vortrag von Prof. Dr. Dominic Breit (TU Clausthal) mit dem Thema "A global Schauder theory for the Stokes equations in rough domains".


We consider the steady Stokes equations in a bounded domain with forcing in divergence form supplemented with no-slip boundary conditions. We provide a maximal regularity theory in Campanato spaces (inlcuding BMO and C^{0,α} for 0<α<1 as special cases) under minimal assumptions on the regularity of the underlying domain. Our approach is based on pointwise multipliers in Campanto spaces.