Harnack inequalities on a manifold with positive or negative Ricci curvature
Dominique BakryUniversité Paul Sabatier, Toulouse, France
Zhongmin M. QianImperial College, London, UK
Several new Harnack estimates for positive solutions of the heat equation on a complete Riemannian manifold with Ricci curvature bounded below by a positive or a negative constant are established. These estimates are sharp both for small time for large time and for large distance and lead to new estimates for the heat kernel of a manifold with Ricci curvature bounded below.
Cite this article
Dominique Bakry, Zhongmin M. Qian, Harnack inequalities on a manifold with positive or negative Ricci curvature. Rev. Mat. Iberoam. 15 (1999), no. 1, pp. 143–179DOI 10.4171/RMI/253