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

Suppose that <em>M</em> is a complete noncompact Riemannian manifold of dimension <em>n</em>. In the present paper, we obtain a Hamilton's gradient estimate for positive solutions of the fast diffusion equations\[ \dfrac{\partial u}{\partial t}=\Delta u^m ,\qquad 1-\dfra...

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Bibliographic Details
Main Author: Ghodratallah Fasihi-Ramandi
Format: Article
Language:English
Published: AIMS Press 2019-05-01
Series:AIMS Mathematics
Subjects:
Online Access:https://www.aimspress.com/article/10.3934/math.2019.3.497/fulltext.html