On the controllability of some equations of Sobolev-Galpern type
arXiv:1807.04695 · doi:10.1016/j.jde.2019.09.005
Abstract
In this paper we deal with the controllability problem for some Sobolev type equations. We show that the equations cannot be driven to zero if the control region is strictly supported within the domain. Nevertheless, we also prove that it is possible to control the equations using controls which have a moving support, under some assumptions on its movement.
20 pages