Logo der Mathematisch-Naturwissenschaftlich-Technischen Fakultät der Universität Augsburg

Universität Augsburg
Institut für Mathematik

 Logo der Mathematisch-Naturwissenschaftlich-Technischen Fakultät der Universität Augsburg

 

Analysis-Seminar Augsburg-München

 

Dr. Manuel Schlierf
Universität Salzburg
 
spricht am
 
Donnerstag, 11. Juni 2026
 
um
 
16:30 Uhr
 
im
 
Raum 2004 (L1)
 
über das Thema:
 

»Stability of the free boundary Willmore problem«

Abstract:
We study the Willmore flow with free boundary by means of a new Lojasiewicz-Simon gradient inequality for functionals on infinite-dimensional manifolds. We show that solutions starting sufficiently close to a local minimizer exist for all times and converge. As an application, we obtain quantitative stability of free boundary Willmore immersions and a local rigidity result in a neighborhood of free boundary minimal surfaces. In this talk, I'll present our flexible proof strategy, addressing in particular: suitably fixing a gauge for the geometric problem, prescribing the nonlinear higher-order boundary conditions by means of an infinite-dimensional manifold, and reducing the stability analysis to the well-posedness of an elliptic boundary problem via the abstract Lojasiewicz-Simon inequality.

 

Hierzu ergeht herzliche Einladung.
Dr. Marius Müller
 

Kaffee, Tee und Gebäck eine halbe Stunde vor Vortragsbeginn im Raum 2006 (L1).


[Impressum]      [Datenschutz]      wwwadm@math.uni-augsburg.de,     Mo 1-Jun-2026 17:41:09 MESZ