Universität Augsburg
Institut für Mathematik

Siegel der Universität Augsburg

 

Analysis-Seminar Augsburg-München

 

Professor Dr. Mathias Schäffner
Technische Universität Dortmund

 
spricht am
 
Donnerstag, 14. Januar 2021
 
um
 
15:00 Uhr
 
im
 
zoom (auf Anfrage)
 
über das Thema:
 

»Regularity for non-uniformly elliptic equations and applications in stochastic homogenization«

Abstract:
I will discuss regularity properties for solutions of linear second order non-uniformly elliptic equations in divergence form. Assuming certain integrability conditions on the coefficient field, we obtain local boundedness and validity of Harnack inequality. The assumed integrability assumptions are sharp and improve upon classical results due to Trudinger from the 1970s.

As an application of the local boundedness result, we deduce a quenched invariance principle for random walks among random degenerate conductances. If time permits I will discuss further regularity results for nonlinear non-uniformly elliptic variational problems.

 

Hierzu ergeht herzliche Einladung.
Prof. Dr. Lisa Beck



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