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Li-Yau inequality for heat equations on \(RCD^\ast (K, N)\) metric measure spaces - MaRDI portal

Li-Yau inequality for heat equations on \(RCD^\ast (K, N)\) metric measure spaces (Q778184)

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scientific article; zbMATH DE number 7216733
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Li-Yau inequality for heat equations on \(RCD^\ast (K, N)\) metric measure spaces
scientific article; zbMATH DE number 7216733

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    Li-Yau inequality for heat equations on \(RCD^\ast (K, N)\) metric measure spaces (English)
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    2 July 2020
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    In this article, the authors obtain two Li-Yau local gradient estimates for weak solutions of the heat equation \(u_t-\Delta u=0\) on metric measure spaces with a lower Ricci curvature bound.
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    heat equation
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    Li-Yau inequality
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