TY - JOUR T1 - Interpolating Between Li-Yau's and Hamilton's Harnack Inequalities on a Surface 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.