The Controllability Of Non-Newtonian Filtration Equations

In this paper we mainly study the non-controllability and the approximate controlla-bility for some targets of non-Newtonian filtration equations.We use the method of local estimate,we shall prove an ??∞-?????????????????????? phenomenon tothe solution of system. Then we prove the non-controllability when the control is active inthe local domain in a short time ??*.And we characterize ??*.Futhermore,we get approximatecontrollability for some initial data and targets.