  We make some remarks on a variant of the classical Tikhonov regularization in
optimal control under PDEs which allows for a certain flexibility in dealing
with non-linearities and state restrictions, in the sense that differential
constraints between control and state are eliminated and pairs can run freely
in their respective sets of feasibility, at the expense of introducing an
additional variable in a collection of approximated problems. In addition to
exploring basic issues like existence and optimality, we also discuss a
numerical procedure and apply it to some academic, illustrative numerical
tests, as well as examine the convergence of solutions of this new family of
approximated problems to the solutions of the underlying optimal control
problem.
