Article ID | Journal | Published Year | Pages | File Type |
---|---|---|---|---|
4664150 | Acta Mathematica Scientia | 2010 | 6 Pages |
Abstract
In this note, we obtain the elliptic estimate for diffusion operator L = Δ + ∇ϕċ∇ on complete, noncompact Riemannian manifolds, under the curvature condition CD(K,m), which generalizes B. L. Kotschwar's work [5]. As an application, we get estimate on the heat kernel. The Bernstein-type gradient estimate for Schrödinger-type gradient is also derived.
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Mathematics
Mathematics (General)