Hamilton's gradient estimate for fast diffusion equations under geometric flow

被引：1

作者：

Fasihi-Ramandi, Ghodratallah ^{[1
]}

机构：

[1] Imam Khomeini Int Univ, Fac Sci, Dept Pure Math, Qazvin, Iran

来源：

AIMS MATHEMATICS | 2019年 / 4卷 / 03期

关键词：

fast diffusion equation; Ricci flow; Hamilton inequality; gradient estimates; HEAT-EQUATION; POSITIVE SOLUTIONS;

D O I：

10.3934/math.2019.3.497

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

Suppose that M is a complete noncompact Riemannian manifold of dimension n. In the present paper, we obtain a Hamilton's gradient estimate for positive solutions of the fast diffusion equations partial derivative u/partial derivative t = Delta u(m), 1 - 4/n + 8 < m < 1 on M x (-infinity, 0] under the geometric flow.

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页码：497 / 505

页数：9

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