Frontiers of Mathematics in China >

2010 , Vol. 5 >Issue 2: 311 - 317

DOI: https://doi.org/10.1007/s11464-010-0004-x

Research articles

Evolution of noncompact hypersurfaces by mean curvature minus a kind of external force field

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  • Department of Applied Mathematics, Beijing Technology and Business University, Beijing 100048, China;

Published date: 05 Jun 2010

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Abstract

In this paper, we study the evolution of a noncompact hypersurface moving by mean curvature minus an external force field. We prove that the flow has a long-time smooth solution for a kind of special external force fields if the initial hypersurface is a Lipschitz entire graph with linear growth.

Key words： parabolic equation; mean curvature flow; maximum principle

Cite this article

Yannan LIU, . Evolution of noncompact hypersurfaces by mean curvature minus a kind of external force field[J]. Frontiers of Mathematics in China, 2010 , 5(2) : 311 -317 . DOI: 10.1007/s11464-010-0004-x

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