Abstract
We consider a bounded connected open set
whose boundary
has a finite
-dimensional
Hausdorff measure. Then we define the Dirichlet-to-Neumann operator
on
by form methods.
The operator
is self-adjoint and generates a contractive
-semigroup
on
. We show that the
asymptotic behaviour of
as
is related to properties of the trace of functions in
which
may
or may not have.
The talk is based on joint work with W. Arendt (Ulm).