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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.OC2026
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…