Siegel der Universität Augsburg

Universität Augsburg
Institut für Mathematik

Siegel der Universität Augsburg

 

Analysis-Seminar Augsburg-München

 

Professor Dr. Christoph Scheven
Universität Duisburg-Essen

 
spricht am
 
Donnerstag, 19. April 2018
 
um
 
15:00 Uhr
 
im
 
Raum 2004 (L1)
 
über das Thema:
 

»Evolution equations on time dependent domains«

Abstract:
The talk deals with the Cauchy-Dirichlet problem for parabolic systems of p-Laplace type on non-cylindrical domains in space-time. In other words, we consider spatial domains whose shape varies in time. In the case of a growing domain, the boundary values can be interpreted as additional initial conditions, while in the case of a shrinking domain, the boundary values can be seen as a kind of obstacle condition. The treatment of time-varying domains turns out to be significantly harder than the standard case of cylindric domains. We present an existence result for solutions to such problems under very weak regularity assumptions on the domain. A first regularity result for the constructed solutions guarantees that they depend continuously on time with respect to the L2-norm if the domain does not shrink too fast.

 

Hierzu ergeht herzliche Einladung.
Prof. Dr. Lisa Beck



wwwadm@Math.Uni-Augsburg.DE,    Di 27-Mär-2018 08:57:11 MESZ