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math.AP2026
Minimal time for heat observability on almost-Riemannian surfaces
Vincent Boulard, Amaury Hayat, Emmanuel Trélat
We determine the minimal observation time for the heat equation on a closed almost-Riemannian surface, for a class of observation sets leaving sufficiently thin collars around simp…
math.AP2026
Optimal geometric barriers for weighted observability of heat semigroups on metric measure spaces
Vincent Boulard, Amaury Hayat, Emmanuel Trélat
Weighted integrated observability inequalities for heat equations usually involve a small-time factor of the form . We prove that this scale is not an artefact of Carlema…