9 citations · 10 across the 3 of their papers we have counts for
5 papers
Elliptic Carleman estimates near the boundary, quantitative unique continuation, and applications to controllability and stabilization
Kévin Le Balc'h, Lotfi Thabouti
This article deals with quantitative unique continuation results up to and from the boundary for second-order elliptic equations with variable coefficients via Carleman estim…
Observability from measurable sets for strongly coupled parabolic systems
Xinyi Chen, Kévin Le Balc'h
We characterize observability of strongly coupled parabolic systems from arbitrary space-time measurable sets of positive measure. For constant coercive diffusion matrices and arbi…
Null-controllability of cascade reaction-diffusion systems with odd coupling terms
Kévin Le Balc'h, Takéo Takahashi
In this paper, we consider a nonlinear system of two parabolic equations, with a distributed control in the first equation and an odd coupling term in the second one. We prove that…
Small-time global exact controllability to the trajectories for the viscous Boussinesq system
F. W. Chaves-Silva, E. Fernández-Cara, K. Le Balc'h +2
In this paper, we deal with the global exact controllability to the trajectories of the Boussinesq system. We consider 2D and 3D smooth bounded domains. The velocity field of the f…
Controllability of a quadratic reaction-diffusion system
Kévin Le Balc'h
We consider a nonlinear reaction-diffusion system posed on a smooth domain of () with controls localized in some arbitrary nonempty open sub…