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Volume 11, Issue 2
Interpolating Between Li-Yau's and Hamilton's Harnack Inequalities on a Surface

Chow Bennett

J. Part. Diff. Eq., 11 (1998), pp. 137-140.

Published online: 1998-11

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  • Abstract
We establish a one-parameter family of Harnack inequalities connecting Li and Yau's differential Harnack inequality for the heat equation to Hamilton's Harnack inequality for the Ricci flow on a 2-dimensional manifold with positive scalar curvature.
  • Keywords

Harnack inequality heat equation parabolic equation Ricci flow surface

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@Article{JPDE-11-137, author = {Chow Bennett }, title = {Interpolating Between Li-Yau's and Hamilton's Harnack Inequalities on a Surface}, journal = {Journal of Partial Differential Equations}, year = {1998}, volume = {11}, number = {2}, pages = {137--140}, abstract = { We establish a one-parameter family of Harnack inequalities connecting Li and Yau's differential Harnack inequality for the heat equation to Hamilton's Harnack inequality for the Ricci flow on a 2-dimensional manifold with positive scalar curvature.}, issn = {2079-732X}, doi = {https://doi.org/}, url = {http://global-sci.org/intro/article_detail/jpde/5560.html} }
TY - JOUR T1 - Interpolating Between Li-Yau's and Hamilton's Harnack Inequalities on a Surface AU - Chow Bennett JO - Journal of Partial Differential Equations VL - 2 SP - 137 EP - 140 PY - 1998 DA - 1998/11 SN - 11 DO - http://doi.org/ UR - https://global-sci.org/intro/article_detail/jpde/5560.html KW - Harnack inequality KW - heat equation KW - parabolic equation KW - Ricci flow KW - surface AB - We establish a one-parameter family of Harnack inequalities connecting Li and Yau's differential Harnack inequality for the heat equation to Hamilton's Harnack inequality for the Ricci flow on a 2-dimensional manifold with positive scalar curvature.
Chow Bennett . (1998). Interpolating Between Li-Yau's and Hamilton's Harnack Inequalities on a Surface. Journal of Partial Differential Equations. 11 (2). 137-140. doi:
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