Local derivative estimates for heat equations on Riemannian manifolds

Abstract

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 derivative estimate of R. Hamilton for heat equations on compact manifolds to noncompact case.

4 pages

References in corpus (1)

• Ricci flow with surgery on three-manifolds