Siegel der Universität Augsburg

Universität Augsburg
Institut für Mathematik

Siegel der Universität Augsburg

 

Analysis-Seminar Augsburg-München

 

Dr. Franz Gmeineder
Universität Bonn

 
spricht am
 
Donnerstag, 14. Juni 2018
 
um
 
16:30 Uhr
 
im
 
Raum 2004 (L1)
 
über das Thema:
 

»Regularity theory for functionals on BD - from convexity to symmetric-rank-one convexity«

Abstract:
Linear growth functionals (such as the minimal surface functional) are usually minimised over the space BV of functions of bounded variation. However, if we pass to the vectorial case and replace the full by the symmetric gradient, then Ornstein's Non-Inequality rules out coerciveness of linear growth functionals on BV. We are thereby lead to examine generalised minima over the space BD of functions of bounded deformation: For such maps the symmetric distributional gradients are finite Radon measures. In this talk I aim to give a comprehensive regularity analysis for generalised minimisers both in the convex and the symmetric-semiconvex framework. The results presented therein are partially obtained in collaboration with J. Kristensen (Oxford).

 

Hierzu ergeht herzliche Einladung.
Prof. Dr. Lisa Beck



wwwadm@Math.Uni-Augsburg.DE,    Mo 14-Mai-2018 13:42:40 MESZ