%0 Journal Article
%T Gradient estimates of Hamilton - Souplet - Zhang type for a general heat equation on Riemannian manifolds
%A Nguyen Thac Dung
%A Nguyen Ngoc Khanh
%J Mathematics
%D 2015
%I arXiv
%X The purpose of this paper is to study gradient estimate of Hamilton - Souplet - Zhang type for the general heat equation $$ u_t=\Delta_V u + au\log u+bu $$ on noncompact Riemannian manifolds. As its application, we show a Harnak inequality for the heat solution and a Liouville type theorem for a nonlinear elliptic equation. Our results are an extention and improvement of the work of Souplet - Zhang (\cite{SZ}), Ruan (\cite{Ruan}), Yi Li (\cite{Yili}) and Huang-Ma (\cite{HM}).
%U http://arxiv.org/abs/1505.07790v3