The Harnack estimate for a nonlinear parabolic equation under the Ricci flow期刊界 All Journals 搜尽天下杂志传播学术成果专业期刊搜索期刊信息化学术搜索

The Harnack estimate for a nonlinear parabolic equation under the Ricci flow

Authors:

Song Bo Hou

Affiliation:

Department of Applied Mathematics, College of Science, East Campus, China Agricultural University, Beijing 100083, P. R. China

Abstract:

Let (M,g(t)), 0 ≤ t ≤ T, be an n-dimensional closed manifold with nonnegative Ricci curvature, |Rc| ≤ C/t for some constant C > 0 and g(t) evolving by the Ricci flow

$frac{{partial g_{ij} }} {{partial t}} = - 2R_{ij} . $frac{{partial g_{ij} }} {{partial t}} = - 2R_{ij} .

Keywords:	Closed manifold Ricci flow nonlinear parabolic equation Harnack estimate
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