Hamilton's Gradient Estimate for a Nonlinear Parabolic Equation on Riemannian Manifolds |
Received:August 29, 2014 Revised:March 20, 2015 |
Key Words:
Hamilton's gradient estimate nonlinear parabolic equation Riemannian manifold
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Fund Project:Supported by the National Natural Science Foundation of China (Grant Nos.\,11261038; 11271132) and the Jiangxi Normal University Youth Development Fund. |
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Abstract: |
In this paper, we give a local Hamilton's gradient estimate for a nonlinear parabolic equation on Riemannian manifolds. As its application, a Harnack-type inequality and a Liouville-type theorem are obtained. |
Citation: |
DOI:10.3770/j.issn:2095-2651.2015.04.009 |
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