Resumen de Convex domains and unique continuantion at the boundary

Carlos E. Kenig, L. Ezcauriaza, V. Adolfsson

• We show that a harmonic function which vanishes continuously on an open set of the boundary of a convex domain cannot have a normal derivative which vanishes on a subset of positive surface measure. We also prove a similar result for caloric functions vanishing on the lateral boundary of a convex cylinder.