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Li-Yau-Hamilton estimates and Bakry-Emery-Ricci curvature - MaRDI portal

Li-Yau-Hamilton estimates and Bakry-Emery-Ricci curvature (Q478280)

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Li-Yau-Hamilton estimates and Bakry-Emery-Ricci curvature
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    Li-Yau-Hamilton estimates and Bakry-Emery-Ricci curvature (English)
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    3 December 2014
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    In this paper, the author studies the weighted heat equation on a closed Riemannian manifold and derives Cheng-Yau, Li-Yau, Hamilton estimates for Riemannian manifolds with Bakry-Emery-Ricci curvature bounded from below, and also global and local upper bounds, in terms of Bakry-Emery-Ricci curvature, for the Hessian of positive and bounded solutions.
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    Cheng-Yau estimate
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    Li-Yau estimate
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    Hamilton estimate
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    Bakry-Emery Ricci curvature
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