Differential Harnack Estimates for Backward Heat Equations with Potentials under the Ricci Flow - Mathematics > Differential GeometryReportar como inadecuado




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Abstract: In this paper, we derive a general evolution formula for possible Harnackquantities. As a consequence, we prove several differential Harnackinequalities for positive solutions of backward heat-type equations withpotentials including the conjugate heat equation under the Ricci flow. Weshall also derive Perelman-s Harnack inequality for the fundamental solution ofthe conjugate heat equation under the Ricci flow.



Autor: Xiaodong Cao

Fuente: https://arxiv.org/







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