Article ID Journal Published Year Pages File Type
839372 Nonlinear Analysis: Theory, Methods & Applications 2016 16 Pages PDF
Abstract

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.

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Physical Sciences and Engineering Engineering Engineering (General)
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Hamilton’s gradient estimates and a monotonicity formula for heat flows on metric measure spaces
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