Hamilton's Gradient Estimates and A Monotonicity Formula for Heat Flows on Metric Measure Spaces
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🧮 math.MG
math.DG
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citeestimatesflowsformulagradienthamiltonheatmeasure
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In this paper, we extend the Hamilton's gradient estimates \cite{har93} and a monotonicity formula of entropy \cite{ni04} for heat flows from smooth Riemannian manifolds to (non-smooth) metric measure spaces with appropriate Riemannian curvature-dimension condition.
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