On the uniqueness for the heat equation on complete Riemannian manifolds

Fei He; Man-Chun Lee

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arXiv · 1910.10894

On the uniqueness for the heat equation on complete Riemannian manifolds

Fei He·Man-Chun Lee

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Abstract

We prove some uniqueness result for solutions to the heat equation on Riemannian manifolds. In particular, we prove the uniqueness of $L^p$ solutions with $0< p< 1$, and improves the $L^1$ uniqueness result of P. Li by weakening the curvature assumption.

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Fei He, Man-Chun Lee. 2019-10-24. On the uniqueness for the heat equation on complete Riemannian manifolds. https://arxiv.org/abs/1910.10894

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