Boundary value problems: an approach via bounded geometries

In this talk, we consider boundary value problems on domains with non smooth boundaries. We approach this problem by transferring it to non-compact manifolds with a nice geometry -- the bounded geometry. This gives a more general framework how to handle Dirichlet (or Dirichlet-Neumann mixed) boundary value problems for domains with a larger class of singularities on the boundary and gives a nice geometric interpretation.

This is joint work with Bernd Ammann (Regensburg) and Victor Nistor (Metz).