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Proceedings of the American Mathematical Society

Published by the American Mathematical Society since 1950, Proceedings of the American Mathematical Society is devoted to shorter research articles in all areas of pure and applied mathematics.

ISSN 1088-6826 (online) ISSN 0002-9939 (print)

The 2020 MCQ for Proceedings of the American Mathematical Society is 0.85.

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Gradient estimate for a nonlinear heat equation on Riemannian manifolds
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by Xinrong Jiang PDF
Proc. Amer. Math. Soc. 144 (2016), 3635-3642 Request permission

Abstract:

In this paper, we derive a local Hamilton type gradient estimate for a nonlinear heat equation on Riemannian manifolds. As its application, we obtain a Liouville type theorem.
References
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Additional Information
  • Xinrong Jiang
  • Affiliation: Institute of Mathematics and Information Science, Jiangxi Normal University, Nanchang, 330022, People’s Republic of China
  • MR Author ID: 967961
  • Email: jiangxr1979@yahoo.com, 1844375561@qq.com
  • Received by editor(s): April 23, 2015
  • Received by editor(s) in revised form: October 8, 2015
  • Published electronically: February 2, 2016
  • Additional Notes: This work was supported by the National Natural Foundation of China (11261038) and The JiangXi Normal University Youth Development Fund.
  • Communicated by: Guofang Wei
  • © Copyright 2016 American Mathematical Society
  • Journal: Proc. Amer. Math. Soc. 144 (2016), 3635-3642
  • MSC (2010): Primary 58J35; Secondary 35B53, 35K55
  • DOI: https://doi.org/10.1090/proc/12995
  • MathSciNet review: 3503732