2026-07-072026-07-07http://salesiana.dossiersoluciones.com/handle/123456789/124513We generalize an entropy calculation of Perelman to the case of domains evolving inside a Ricciflow solution. In the case of Euclidean space as ambient manifold an interesting relation with Harnack inequalities emerges.Differential GeometryAnalysis of PDEsA relation between entropy monotonicity and Harnack inequalitiestext