Hong Huang

most citedLocal derivative estimates for heat equations on Riemannian manifolds

1 citations · 1 across the 6 of their papers we have counts for

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6 papers

math.DG2008

A note on the Ricci flow on noncompact manifolds

Hong Huang

Let $(M^{3}, g_{0})$ be a complete noncompact Riemannian 3-manifold with nonnegative Ricci curvature and with injectivity radius bounded away from zero. Suppose that the scalar curvatur…

math.DG2008

A note on K $a ¨$ hler manifolds with almost nonnegative bisectional curvature

Hong Huang

In this note we prove the following result: There is a positive constant $ε (n, Λ)$ such that if $M^{n}$ is a simply connected compact K $a ¨$ hler manifold with sectional curvature…

math.DG2008

The advanced maximum principle for parabolic systems on manifolds with boundary

Hong Huang

In this short note we extend Chow and Lu's advanced maximum principles for parabolic systems on closed manifolds to the case of compact manifolds with boundary, which also generali…

math.DG2007

A remark on odd dimensional normalized Ricci flow

Hong Huang

Let $(M^{n}, g_{0})$ ( $n$ odd) be a compact Riemannian manifold with $λ (g_{0}) > 0$ , where $λ (g_{0})$ is the first eigenvalue of the operator $- 4 Δ_{g_{0}} + R (g_{0})$ , and $R (g_{0})$ is the scalar cu…

math.DG2007

Some gradient estimates for a diffusion equation on Riemannian manifolds

Hong Huang

In this note we present some gradient estimates for the diffusion equation $\partial_{t} u = Δ u - \nabla ϕ \cdot \nabla u$ on Riemannian manifolds, where $ϕ$ is a C^2 function, which gen…

math.AP2007★ 1 cited

Local derivative estimates for heat equations on Riemannian manifolds

Hong Huang

In this short note we present local derivative estimates for heat equations on Riemannian manifolds following the line of W.-X. Shi. As an application we generalize a second deriva…

A note on the Ricci flow on noncompact manifolds

A note on Ka¨hler manifolds with almost nonnegative bisectional curvature

The advanced maximum principle for parabolic systems on manifolds with boundary

A remark on odd dimensional normalized Ricci flow

Some gradient estimates for a diffusion equation on Riemannian manifolds

Local derivative estimates for heat equations on Riemannian manifolds

A note on K $a ¨$ hler manifolds with almost nonnegative bisectional curvature