3 papers
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…
math.AP2020
Local-controllability of the one-dimensional nonlocal Gray-Scott model with moving controls
Víctor Hernández-Santamaría, Kévin Le Balc'h
In this paper, we prove the local-controllability to positive constant trajectories of a nonlinear system of two coupled ODE equations, posed in the one-dimensional spatial setting…
math.OC2019
Local null-controllability of a nonlocal semilinear heat equation
Víctor Hernández-Santamaría, Kévin Le Balc'h
This paper deals with the problem of internal null-controllability of a heat equation posed on a bounded domain with Dirichlet boundary conditions and perturbed by a semilinear non…