Heat kernel upper bounds on a complete non-compact manifold.

Alexander Grigor'yan

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BMO continuity for some heat potentials

Anna Grimaldi-Piro, Francesco Ragnedda, Umberto Neri (1984)

Rendiconti del Seminario Matematico della Università di Padova

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

Dominique Bakry, Zhongmin M. Qian (1999)

Revista Matemática Iberoamericana

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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.

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Annales de l’institut Fourier

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We prove two-sided estimates of heat kernels on non-parabolic Riemannian manifolds with ends, assuming that the heat kernel on each end separately satisfies the Li-Yau estimate.

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Miroslav Dont (1980)

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