Vortrag: "The Poisson problem on noncompact manifolds with boundary"

Abstract:

We consider Poisson problems on  manifolds with boundary and bounded geometry and assume that they have finite width (that is, that the distance from any point to the boundary is bounded uniformly).  As an application, we establish the connection to the Poisson problem on certain domains in the plane. In particular we get the well-posedness of strongly elliptic equations on domains with oscillating conical singularities, a class of domains that generalizes the class of bounded domains with conical points. This is joint work with Bernd Ammann (Regensburg) and Victor Nistor (Metz).