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  
Fund Project:Supported by the National Natural Science Foundation of China (Grant Nos.\,11261038; 11271132) and the Jiangxi Normal University Youth Development Fund.
Author NameAffiliation
Xinrong JIANG Institute of Mathematics and Information Science, Jiangxi Normal University, Jiangxi 330022, P. R. China 
Caisheng LIAO Department of Mathematics, East China Normal University, Shanghai 200241, P. R. China 
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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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