Forced Flow by Powers of the $\textit{m}^{{\rm th}}$ Mean Curvature

In this paper, we consider the $m^{{\rm th}}$ mean curvature flow of convex hypersurfaces in Euclidean spaces with a general forcing term. Under the assumption that the initial hypersurface is suitably pinched, we show that the flow may shrink to a point in finite time if the forcing term is small,...

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Bibliographic Details
Main Authors: Chuanxi Wu, Daping Tian, Guanghan Li
Format: Article
Language:English
Published: Republic of Armenia National Academy of Sciences 2010-06-01
Series:Armenian Journal of Mathematics
Online Access:http://armjmath.sci.am/index.php/ajm/article/view/70