# $H^\alpha$-flow of mean convex, complete graphical hypersurfaces

@inproceedings{Maurer2021HalphaflowOM, title={\$H^\alpha\$-flow of mean convex, complete graphical hypersurfaces}, author={Wolfgang Maurer}, year={2021} }

Let α > 0. The flow by the α power of the mean curvature, or short H-flow, is the evolution of a hypersurface Mt, such that at each point the normal velocity equals H , the α power of the mean curvature H . The hypersurface is assumed to be strictly mean convex (H > 0) at all times. If X(·, t) : M → R are (local) embeddings of the time-dependent hypersurface Mt, then H -flow is described by the equation (ν is the normal vector) 〈Ẋ, ν〉 = H . (1)

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