In this paper, we study a parabolic equation concerning V-Laplacian on complete
Riemannian manifold M:(Δ V− q (x, t)−∂ t) u (x, t)= A (u (x, t)) on M×[0, T], where V is a vector …

Let M be a complete noncompact Riemannian manifold. In this paper, we derive a local
gradient estimate for positive solutions of the nonlinear parabolic equation (Δ−∂∂ t) u (x, t)+ …

Gradient estimate for a nonlinear heat equation on Riemannian manifolds Page 1
PROCEEDINGS OF THE AMERICAN MATHEMATICAL SOCIETY Volume 144, Number 8 …

Let (M, g) be a smooth compact Riemannian manifold of dimension n≥ 3. Denote\Delta_g=-
\rm div _g ∇ the Laplace–Beltrami operator. We establish some local gradient estimates for …

In this paper, by the method of JF Li and XJ Xu (Differential Harnack inequalities on
Riemannian manifolds I: Linear heat equation, Adv. in Math., 226 (2011), 4456–4491), we …

In this paper, we first prove a localized Hamilton-type gradient estimate for the positive
solutions of Porous Media type equations: with F′(u)> 0, on a complete Riemannian …

In the paper, we first prove a Hamilton-Souplet-Zhang type gradient estimate for a positive
solution to the nonlinear parabolic type equation∂ tu (x, t)=(Δ− q (x, t)) u (x, t)+ au (x, t) log u …

Let (M, g) be a complete noncompact Riemannian manifold. In this note, we derive a local
Hamilton-type gradient estimate for positive solution to a simple nonlinear parabolic …

We provide global gradient estimates for solutions to a general type of nonlinear parabolic
equations, possibly in a Riemannian geometry setting. Our result is new in comparison with …

Let M be a complete noncompact manifold with Ricci curvature bounded below. In this note,
we derive a uniform bound for the solutions to the nonlinear equation where a is a real …