Abstract for the talk on 15.01.2016 (09:30 h)

Arbeitsgemeinschaft ANGEWANDTE ANALYSIS

Claudia Raithel (MPI MIS, Leipzig)
Large-scale regularity of random elliptic operators on the half-plane

We are interested in the large-scale regularity of random linear elliptic operators on the half-plane with homogeneous Dirichlet boundary conditions. This is expressed in a first order Liouville theorem, which is obtained through means of a corresponding excess-decay. The main difficulty is the construction of a sublinear solution to an appropriate corrector-problem.