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arxiv: 1606.06392 · v1 · pith:36FBVUS6new · submitted 2016-06-21 · 🧮 math.AP

Mean Curvature Flows of Graphs with Neumann Boundary condition

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keywords boundarycurvaturegraphsmeanconditionflowneumanncorresponding
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In this paper, we study the mean curvature flow of graphs with Neumann boundary condition. The main aim is to use the maximum principle to get the boundary gradient estimate for solutions. In particular, we obtain the corresponding existence theorem for the mean curvature flow of graphs.

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