Abstract
Consider the bi-harmonic differential expression of the form
on a complete Riemannian manifold (
) with metric
where
is the Laplacian on
and
is a locally square
integrable function on
.
In the terminology of Everitt and Giertz, the differential expression
is
said to be separated in
if for all
such that
, we have
. In this paper we give sufficient conditions
for
to be separated in