arXiv subjects

Diego A. Souza

Publications and source records attributed to Diego A. Souza.

20 records · Page 2Linked to original sources

arXiv2018

On the controllability of some equations of Sobolev-Galpern type

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.

math.AP↗

arXiv2017

Observability inequalities on measurable sets for the Stokes system and applications

In this paper, we establish spectral inequalities on measurable sets of positive Lebesgue measure for the Stokes operator, as well as an observability inequalities on space-time measurable sets of positive measure for non-stationary Stokes system. Furthermore, we provide their applications in the theory of shape optimization and time optimal control problems.

math.OC↗