Journal
NONLINEAR ANALYSIS-THEORY METHODS & APPLICATIONS
Volume 131, Issue -, Pages 32-47Publisher
PERGAMON-ELSEVIER SCIENCE LTD
DOI: 10.1016/j.na.2015.08.011
Keywords
Metric measure space; Curvature-dimension condition; Hamilton's gradient estimates
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Funding
- NSFC [11301029]
- Fundamental Research Funds for the Central Universities
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In this paper, we extend the Hamilton's gradient estimates (Hamilton 1993) and a monotonicity formula of entropy (Ni 2004) for heat flows from smooth Riemannian manifolds to (non-smooth) metric measure spaces with appropriate Riemannian curvature-dimension condition. (C) 2015 Elsevier Ltd. All rights reserved.
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