Gradient estimate for a nonlinear heat equation on Riemannian manifolds
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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