5 citations · 9 across the 10 of their papers we have counts for
3 papers · 1 filter
-estimates, local well-posedness and controllability for linear and semilinear backward SPDEs
Víctor Hernández-Santamaría, Kévin Le Balc'h, Liliana Peralta
In this paper, we study linear backward parabolic SPDEs in bounded domains and present new a priori estimates for their weak solutions. Inspired by the seminal work of Y. Hu, J. Ma…
Global null-controllability for stochastic semilinear parabolic equations
Víctor Hernández-Santamaría, Kévin Le Balc'h, Liliana Peralta
In this paper, we prove the small-time global null-controllability of forward (resp. backward) semilinear stochastic parabolic equations with globally Lipschitz nonlinearities in t…
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…