Harnack inequalities on a manifold with positive or negative Ricci curvature.

Bakry, Dominique, and Qian, Zhongmin M.. "Harnack inequalities on a manifold with positive or negative Ricci curvature.." Revista Matemática Iberoamericana 15.1 (1999): 143-179. <http://eudml.org/doc/39567>.

@article{Bakry1999,
abstract = {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.},
author = {Bakry, Dominique, Qian, Zhongmin M.},
journal = {Revista Matemática Iberoamericana},
keywords = {Variedad riemanniana; Desigualdades; Curvatura; Gradientes; Estimación; Ecuaciones diferenciales; Harnack inequality; Ricci curvature; heat equations; Riemann manifold; maximum principle},
language = {eng},
number = {1},
pages = {143-179},
title = {Harnack inequalities on a manifold with positive or negative Ricci curvature.},
url = {http://eudml.org/doc/39567},
volume = {15},
year = {1999},
}

TY - JOUR
AU - Bakry, Dominique
AU - Qian, Zhongmin M.
TI - Harnack inequalities on a manifold with positive or negative Ricci curvature.
JO - Revista Matemática Iberoamericana
PY - 1999
VL - 15
IS - 1
SP - 143
EP - 179
AB - 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.
LA - eng
KW - Variedad riemanniana; Desigualdades; Curvatura; Gradientes; Estimación; Ecuaciones diferenciales; Harnack inequality; Ricci curvature; heat equations; Riemann manifold; maximum principle
UR - http://eudml.org/doc/39567
ER -