A note on the Smoluchowski-Kramers approximation for the Langevin equation with reflection

According to the Smoluchowski-Kramers approximation, the solution of the equation mu<q(t)(mu) = b(q(t)(mu)) - (q)over dot(t)(mu) + Sigma(q(t)(mu))(W)over dot(t), q(0)(mu) = q, (q)over dot(0)(mu) = p converges to the solution of the equation. (q)over dot(t) = b(q(t)) + Sigma(q(t))(W)over dot(t), q(0) = q as mu --> 0. We consider here a similar result for the Langevin process with elastic reflection on the boundary.