2026-07-072026-07-07http://salesiana.dossiersoluciones.com/handle/123456789/161414The purpose of this paper is to establish some basic interior estimates of Cauchy-Schauder type for the heat flow associated with a system of smooth vector fields satisfying Hormander's finite rank conditionAnalysis of PDEsInterior Cauchy-Schauder estimates for the heat flow in Carnot-Caratheodory spacestext