Open AccessGradient estimate for a nonlinear heat equation on Riemannian manifolds
Author(s) -
Xinrong Jiang
Publication year - 2016
Publication title -
proceedings of the american mathematical society
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 0.968
H-Index - 84
eISSN - 1088-6826
pISSN - 0002-9939
DOI - 10.1090/proc/12995
Subject(s) - mathematics , heat equation , nonlinear system , mathematical analysis , type (biology) , riemannian geometry , riemannian manifold , global analysis , ricci flat manifold , physics , geology , geometry , scalar curvature , curvature , quantum mechanics , paleontology
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.