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Evolution of noncompact hypersurfaces by mean curvature minus a kind of external force field |
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| Authors: | Yannan Liu |
| Institution: | Department of Applied Mathematics, Beijing Technology and Business University, Beijing 100048, China; |
| 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. |
| Keywords: | parabolic equation mean curvature flow maximum principle |
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