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Large-scale regularity of random elliptic operators on the half-plane

  • Claudia Raithel (MPI MiS, Leipzig)
A3 01 (Sophus-Lie room)

Abstract

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.

Katja Heid

MPI for Mathematics in the Sciences Contact via Mail

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