[1]Moser J.A Harnack inequality for parabolic differential equations［J］.Communications on Pure and Applied Mathematics，1964，17(1):101-134. [2]Li P，Yau S T.On the parabolic kernel of the Schrodinger operator［J］.Acta Mathematica，1986，156(3/4):153-201. [3]Hamilton R S.Matrix Harnack estimate for the heat equation［J］.Communications in Analysis and Geometry，1993，1(1):113-126. [4]Hamilton R S.The Harnack estimate for the Ricci flow［J］.Journal of Differential Geometry，1993，37(1):225-243. [5]Hamilton R S.Harnack estimate for the mean curvature flow［J］.Journal of Differential Geometry，1995，41(1):215-226. [6]Barlow M T，Chen X.Gaussian bounds and parabolic Harnack inequality on locally irregular graphs［J］.Mathematische Annalen，2016，366(3/4):1677-1720. [7]Qian B.Remarks on differential Harnack inequalities［J］.Journal of Mathematical Analysis and Applications，2014，409(1):556-566. [8]Bryan P，Louie J.Classification of convex ancient solutions to curve shortening flow on the sphere［J］.The Journal of Geometric Analysis，2016，26(2):858-872. [9]Viado-Lereu F.The curve shortening flow with density of a spherical curve in codimension two［J］.Journal of Evolution Equations，2020(2):1-30. [10]Gage M，Hamilton R S.The heat equation shrinking convex plane curves［J］.Journal of Differential Geometry，1986，23(1):69-96. [11]Grayson M A.The heat equation shirnks embedded plane curves to round points［J］.Journal of Differential Geometry，1987，26(2):285-314. [12]Sapiro G，Tannenbaum A.On affine plane curve evolution［J］.Journal of Functional Analysis，1994，119(1):79-120. [13]Andrews B.Contraction of convex hypersurfaces by their affine normal［J］.Journal of Differential Geometry，1996，43(2):207-230. [14]Angenent S，Sapiro G，Tannenbaum A.On the affine heat equation for non-convex curves［J］.Journal of the American Mathematical Society，1998，11(3):601-634.
