4 papers
Application of uncertainty principles for decaying densities to the observability of the Schrödinger equation
Kévin Le Balc'h, Jiaqi Yu
In this article, we study the Schrödinger equation posed in the Euclidean space. We prove observability inequalities for measurable sets that are thick with respect to decaying den…
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…
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…
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…