2026-07-072026-07-07http://salesiana.dossiersoluciones.com/handle/123456789/123895In this short note we present local derivative estimates for heat equations on Riemannian manifolds following the line of W.-X. Shi. As an application we generalize a second derivative estimate of R. Hamilton for heat equations on compact manifolds to noncompact case.4 pagesAnalysis of PDEsDifferential Geometry58J35Local derivative estimates for heat equations on Riemannian manifoldstext