4 papers
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…
Inverse Random Source and Cauchy Problems for Semi-Discrete Stochastic Parabolic Equations in Arbitrary Dimensions
Rodrigo Lecaros, Ariel A. Pérez, Manuel F. Prado
In this paper, we study two types of inverse problems for space semi-discrete stochastic parabolic equations in arbitrary dimensions. The first problem concerns a semi-discrete inv…
Lipschitz stability and reconstruction in inverse problems for semi-discrete parabolic operators
Rodrigo Lecaros, Juan López-RÃos, Ariel A. Pérez
This work addresses an inverse problem for a semi-discrete parabolic equation, consisting of identifying the right-hand side of the equation from solution measurements at an interm…
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…