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math.OC2026
Controllability for semi-discrete semilinear stochastic parabolic operators
Rodrigo Lecaros, Ariel A. Pérez, Manuel F. Prado
In \cite{LPP:2025}, it was shown that, in arbitrary dimension, the spatial semi-discretization of a controlled stochastic parabolic operator is generically not null-controllable. N…
math.OC2025
Carleman estimate for semi-discrete stochastic parabolic operators in arbitrary dimension and applications to controllability
Rodrigo Lecaros, Ariel A. Pérez, Manuel F. Prado
This paper considers a semi-discrete forward stochastic parabolic operator with homogeneous Dirichlet conditions in arbitrary dimensions. We show the lack of null controllability f…
math.OC2024
Asymptotic behavior of Carleman weight functions and application to controllability
Ariel A. Pérez
In the development of controllability and inverse problem results for semi-discrete systems, by using Carleman estimates, it is required to estimate of the discrete operators appli…