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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…