Abstract for the talk on 22.12.2021 (11:00 h)Arbeitsgemeinschaft ANGEWANDTE ANALYSIS
Gael Diebou Yomgne (Universität Bonn)
On low regularity problems: the elliptic and parabolic theory
In this talk I plan to present new solvability techniques for elliptic
problems subject to boundary data assuming a minimal regularity property.
These techniques heavily rely on certain harmonic analysis tools and
recent progress in the theory of function spaces. As an illustration, I
will discuss the solvability theory for the weakly harmonic map system
into a compact manifold (which is a "borderline" problem). Applications in
the parabolic setting will also be mentioned with a particular focus on
the chemotaxis Navier-Stokes equations.