A probabilistic approach for gradient estimates on time-inhomogeneous manifolds

Li-Juan Cheng

Statistics & Probability Letters, 2014, vol. 88, issue C, 174-183

Abstract: Gradient estimates of Hamilton and Li–Yau types for positive solutions to the heat equation are established from a probabilistic viewpoint, which simplifies the proofs of some results of Sun (2011).

Keywords: Geometric flow; Ricci flow; Heat equation; Li–Yau type inequality; Hamilton type gradient inequality; gt-Brownian motion (search for similar items in EconPapers)
Date: 2014
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DOI: 10.1016/j.spl.2014.02.007

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