Hamilton's gradient estimate for the heat kernel on complete manifolds

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Kotschwar, Brett;
  • Subject: 35K05 | Mathematics - Analysis of PDEs | 58J35
    arxiv: Mathematics::Differential Geometry

In this paper we extend a gradient estimate of R. Hamilton for positive solutions to the heat equation on closed manifolds to bounded positive solutions on complete, non-compact manifolds with $Rc \geq -Kg$. We accomplish this extension via a maximum principle of L. Kar... View more
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