Siegel der Universität Augsburg

Universität Augsburg
Institut für Mathematik

Siegel der Universität Augsburg


Oberseminar zu Differentialgleichungen


Dr. Christopher Hopper
Universität Salzburg

spricht am
Donnerstag, 30. November 2017
16:00 Uhr
Raum 2004 (L1)
über das Thema:

»Regularity aspects for holonomic minimisers in the calculus of variations«

The problem of obtaining regularity results for manifold-constrained minimisers of convex, or quasi-convex, functionals features a number of interesting obstacles to full regularity, particularly when there is no recourse to a monotonicity formula. It is possible to mitigate the introduction of this non-linear pointwise constraint by lifting Sobolev mappings to the universal covering space and appeal to the connectedness of the covering space. By doing so partial regularity becomes achievable via a direct argument using a Lipschitz approximation argument on the level of the gradient. Several applications to variational problems in condensed matter physics that motivate this class of problems will also be discussed.


Hierzu ergeht herzliche Einladung.
Prof. Dr. Lisa Beck

wwwadm@Math.Uni-Augsburg.DE,    Fr 27-Okt-2017 10:14:40 MESZ