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
16:30 Uhr
Raum 2004 (L1)
über das Thema:

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

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