We study maps valued in a dual Banach space. In particular, we show that Sobolev maps can be characterized in terms of weak derivatives in a weak* sense. Since every metric space embeds isometrically into a dual Banach space, this implies a characterization of metric space valued Sobolev maps in terms of such derivatives. Furthermore, we investigate for which target spaces Sobolev maps are weak* differentiable almost everywhere.
Weak weak* derivative
03.10.2024 09:30 - 11:00
Organiser:
T. Körber, A. Molchanova, F. Rupp
Location:
TU Wien DA 03 C22 Freihaus (Wiedner Hauptstr. 8–10, 1040 Wien)