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Estimate for evolutionary surfaces of prescribed mean curvature and the convergence
Keywords:mean curvature flow, convergence, gradient estimate.
Abstract:
      In the paper, we will discuss the gradient estimate for the evolutionary surfaces of prescribed mean curvature with Neumann boundary value under the same conditions as the one in the interior estimate by K. Ecker. Also, based on the elliptic result obtained recently, we will show the longtime behavior of surfaces moving by the velocity equals to the mean curvature.