$H^\alpha$-flow of mean convex, complete graphical hypersurfaces
Differential Geometry
2021-04-02 v1
Abstract
We consider the evolution of hypersurfaces in with normal velocity given by a positive power of the mean curvature. The hypersurfaces under consideration are assumed to be strictly mean convex (positive mean curvature), complete, and given as the graph of a function. Long-time existence of the -flow is established by means of approximation by bounded problems.
Cite
@article{arxiv.2104.00047,
title = {$H^\alpha$-flow of mean convex, complete graphical hypersurfaces},
author = {Wolfgang Maurer},
journal= {arXiv preprint arXiv:2104.00047},
year = {2021}
}