Corrigendum: "Hierarchic control for a coupled parabolic system" [Portugaliae Math., 73, 2, (2016), (115-137)]doi: 10.4171/PM/1979
Por:
Hernandez-Santamaria, Victor, de Teresa, Luz, Poznyak, Alexander
Publicada:
1 ene 2017
Categoría:
Mathematics (miscellaneous)
Resumen:
In [2] we used three controls for a system of two coupled parabolic equations. We defined three functionals to be minimized and a hierarchy on the controls obtaining from the optimality condition a system of six coupled equations. In order to prove the null controllability, by means of the leader control acting only on the first equation, we give a proof of a Carleman inequality (Proposition 6.4) that in fact is incorrect. In this corrigendum we slightly modify the followers functionals given by (3) page 118 [2] in such a way that for the corresponding hierarchic system a correct Carleman inequality can be proved. This modification allows to introduce a coefficient a12?0 (a12 was zero in [2]). © European Mathematical Society.
Filiaciones:
CINVESTAV IPN, Dept Control Automat, Apartado Postal 14-740, Mexico City 07000, DF, Mexico
Univ Nacl Autonoma Mexico, Inst Matemat, Ciudad Univ, Mexico City 04510, DF, Mexico
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