Faculty of Mathematics
Collaborative Research Centre 701
Spectral Structures and Topological Methods in Mathematics
stripes SFB701

Monday, June 19, 2017 - 15:00 in V2-105/115

On the Neumann problem for variational integrals in BV

A talk in the 'Oberseminar Numerik' series by
Franz Gmeineder from Oxford
Abstract: In this talk I give an overview of old and new results regarding the solvability of variational problems of linear growth, actually to be dealt with in the space BV of functions of bounded variation, in Sobolev spaces. Contrasting the rather restrictive results available in the Dirichlet case, we shall focus on the variational formulation of the Neumann problem on BV which allows for Sobolev solutions even in presence of high degeneracy of the integrands' ellipticity.

This is joint work with L. Beck (Augsburg) and M. Bulicek (Prague).