Gradient Estimate and Harnack Inequality on Non-Compact Riemannian Manifolds

2026-07-072026-07-07http://salesiana.dossiersoluciones.com/handle/123456789/146920A new type of gradient estimate is established for diffusion semigroups on non-compact complete Riemannian manifolds. As applications, a global Harnack inequality with power and a heat kernel estimate are derived for diffusion semigroups on arbitrary complete Riemannian manifolds.Probability58J65 58J35 60H30Gradient Estimate and Harnack Inequality on Non-Compact Riemannian Manifoldstext