Siegel der Universität Augsburg

Universität Augsburg
Institut für Mathematik

Siegel der Universität Augsburg

 

Oberseminar zu Differentialgleichungen

 

Dr. Ulrich Menne
Universität Leipzig

 
spricht am
 
Donnerstag, 5. April 2018
 
um
 
16:30 Uhr
 
im
 
Raum 2004 (L1)
 
über das Thema:
 

»Pointwise differentiability of higher order for distributions«

Abstract:
For distributions, we build a theory of higher order pointwise differentiability comprising, for order zero, Łojasiewicz’s notion of point value. Results include Borel regularity of differentials, higher order rectifiability of the associated jets, a Rademacher-Stepanov type differentiability theorem, and a Lusin type approximation. A substantial part of this development is new also for zeroth order. Moreover, we establish a Poincaré inequality involving the natural norms of negative order of differentiability. As a corollary, we characterise pointwise differentiability in terms of point values of distributional partial derivatives.

 

Hierzu ergeht herzliche Einladung.
Prof. Dr. Bernd Schmidt



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