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math.AP2020★ 4 cited
Carleman estimates and controllability results for fully-discrete approximations of 1-D parabolic equations
Víctor Hernández-Santamaría, Pedro González Casanova
In this paper, we prove a Carleman estimate for fully-discrete approximations of parabolic operators in which the discrete parameters and are connected to the lar…
math.AP2020
Statistical null-controllability of stochastic nonlinear parabolic equations
Victor Hernandez-Santamaria, Kevin Le Balc'h, Liliana Peralta
In this paper, we consider forward stochastic nonlinear parabolic equations, with a control localized in the drift term. Under suitable assumptions, we prove the small-time global…