Abstract
We establish a one-parameter family of Harnack inequalities connecting the constrained trace Li–Yau differential Harnack inequality for the heat equation to the constrained trace Chow–Hamilton Harnack inequality for the Ricci flow on a 2-dimensional closed manifold with positive scalar curvature, and thereby generalize Chow’s interpolated Harnack inequality (J. Partial Diff. Eqs. 11 (1998), 137–140).
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This work is partially supported by the NSFC10871069.
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Wu, JY., Zheng, Y. Interpolating between constrained Li–Yau and Chow–Hamilton Harnack inequalities on a surface. Arch. Math. 94, 591–600 (2010). https://doi.org/10.1007/s00013-010-0135-z
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DOI: https://doi.org/10.1007/s00013-010-0135-z