A Probabilistic Approach for Gradient Inequalities on Time-Inhomogeneous Manifolds
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🧮 math.PR
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gradientinequalitiesprobabilistictypeapproachequationestablishedhamilton
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Gradient inequalities of the Hamilton type and the Li-Yau type for positive solutions to the heat equation are established from a probabilistic viewpoint, which simplifies the proofs of some results of Sun [{\it Pacific J. Math.}, 253 (2011), pp. 489--510].
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