In our main result
we shall
consider an hypoelliptic linear partial differential operator
with
coefficients defined on an open set
and
consider a solution
of the equation
which extends to a distribution
defined in a neighborhood of some point
in the boundary
of
.
If hypoellipticity is a consequence of the existence of a suitable right
parametrix of pseudodifferential type,
then we shall show that
must have temperate growth at the boundary near
.