2026-07-072026-07-07http://salesiana.dossiersoluciones.com/handle/123456789/164143In this paper, we prove a differential Harnack inequality for positive solutions of time-dependent heat equations with potentials. We also prove a gradient estimate for the positive solution of the time-dependent heat equation.14 pagesDifferential Geometry53C44Differential Harnack Estimates for Time-dependent Heat Equations with Potentialstext