Li–Yau Harnack inequality for the heat equation

E2108683 UNEXPLORED

The Li–Yau Harnack inequality for the heat equation is a fundamental differential inequality in geometric analysis that provides sharp space-time gradient and decay estimates for positive solutions of the heat equation on Riemannian manifolds.

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Hamilton’s Harnack inequalities for Ricci flow generalizationOf Li–Yau Harnack inequality for the heat equation