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arxiv: 1212.2723 · v1 · pith:4ATRLLEAnew · submitted 2012-12-12 · 🧮 math.AP · math.DG

An Upper Bound for Hessian Matrices of Positive Solutions of Heat Equations

Qing Han , Qi S Zhang This is my paper
classification 🧮 math.AP math.DG
keywords upperboundboundsglobalheathessianpositivesolutions
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We prove global and local upper bounds for the Hessian of log positive solutions of the heat equation on a Riemannian manifold. The metric is either fixed or evolves under the Ricci flow. These upper bounds supplement the well-known global lower bound.

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