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Remarks on the controllability of parabolic systems with non-diagonalizable diffusion matrix
Michel Duprez, Manuel González-Burgos, Diego A. Souza
The distributed null controllability for coupled parabolic systems with non-diagonalizable diffusion matrices with a reduced number of controls has been studied in the case of cons…
Switching Controls for Analytic Semigroups and Applications to Parabolic Systems
Felipe W. Chaves-Silva, Sylvain Ervedoza, Diego A. Souza
In this work, we push further the analysis of the problem of switching controls proposed in [E. Zuazua, Switching control, J. Eur. Math. Soc. (JEMS), 13(1): 85--117, 2011]. The pro…
Observability inequalities on measurable sets for the Stokes system and applications
Felipe W. Chaves-Silva, Diego A. Souza, Can Zhang
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 me…