Advanced seminar AG Mathematical Modeling
Monday, 15.04.2024 at 17.00 in B7-210 - Seminar room A
Lecture by Prof. Dr. Dominic Breit (TU Clausthal) with the topic "A global Schauder theory for the Stokes equations in rough domains".
Abstract:
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.