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arXiv · 1212.2723

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

Qing Han·Qi S Zhang
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Abstract

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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Qing Han, Qi S Zhang. 2012-12-12. An Upper Bound for Hessian Matrices of Positive Solutions of Heat Equations. https://arxiv.org/abs/1212.2723

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