Harnack inequalities on a manifold with positive or negative Ricci curvature

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...

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Detalhes bibliográficos
Main Authors: Bakry, D, Qian, Z
Formato: Journal article
Idioma:English
Publicado em: 1999