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20012005
most citedSharp gradient estimate and Yau's Liouville theorem for the heat equation on noncompact manifolds

3 citations · 7 across the 6 of their papers we have counts for

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math.DG2005

Large time behavior of heat kernels on forms

Thierry Coulhon, Qi S. Zhang

We derive large time upper bounds for heat kernels on vector bundles of differential forms on a class of non-compact Riemannian manifolds under certain curvature conditions.

math.DG2005★ 3 cited

Sharp gradient estimate and Yau's Liouville theorem for the heat equation on noncompact manifolds

Philippe Souplet, Qi S. Zhang

We derive a sharp, localized version of elliptic type gradient estimates for positive solutions (bounded or not) to the heat equation. These estimates are akin to the Cheng-Yau est…