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Hamilton's Gradient Estimates and A Monotonicity Formula for Heat Flows on Metric Measure Spaces

Published 28 Dec 2015 in math.MG and math.DG | (1512.08306v1)

Abstract: 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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Authors (2)

  1. Renjin Jiang 
  2. Huichun Zhang 

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