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math.AP2026
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…
math.AP2022
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…
math.AP2020★ 9 cited
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…