Harnack inequalities for evolving hypersurfaces on the sphere
Differential Geometry
2020-07-07 v2 Analysis of PDEs
Abstract
We prove Harnack inequalities for hypersurfaces flowing on the unit sphere by -powers of a strictly monotone, 1-homogeneous, convex, curvature function , If is the mean curvature, we obtain stronger Harnack inequalities.
Cite
@article{arxiv.1512.03374,
title = {Harnack inequalities for evolving hypersurfaces on the sphere},
author = {Paul Bryan and Mohammad N. Ivaki and Julian Scheuer},
journal= {arXiv preprint arXiv:1512.03374},
year = {2020}
}
Comments
22 pages; Thoroughly revised version. We improved the main theorem a bit