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Robust quantitative uniqueness and controllability for parabolic equations with inverse square potentials via non-smooth Carleman weights
We consider the heat operator with a potential that diverges as the inverse square of the distance to a hypersurface $\Gamma$ of $\mathbb{R}^n$. We are primarily interested in the case where $\Gamma$ is the boundary of a convex domain, in which case we prove a global Carleman estimate that captures …