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An Obstacle Problem for Mean Curvature FlowLogaritsch, Philippe 19 October 2016 (has links)
We adress an obstacle problem for (graphical) mean curvature flow with Dirichlet boundary conditions. Using (an adapted form of) the standard implicit time-discretization scheme we derive the existence of distributional solutions satisfying an appropriate variational inequality.
Uniqueness of this flow and asymptotic convergence towards the stationary solution is proven.
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