Translating solutions and the entire Hessian curvature flow in Minkowski space
Analysis of PDEs
2024-09-12 v1
Abstract
In this paper, we study the -Hessian curvature flow of noncompact spacelike hypersurfaces in Minkowski space. We first prove the existence of translating solutions with given asymptotic behavior. Then, we prove that for strictly convex initial hypersurface satisfying certain conditions, the curvature flow exists for all time, and the normalized flow converges to a translating solution.
Keywords
Cite
@article{arxiv.2409.07301,
title = {Translating solutions and the entire Hessian curvature flow in Minkowski space},
author = {Qu Changzheng and Wang Zhizhang and Wo Weifeng},
journal= {arXiv preprint arXiv:2409.07301},
year = {2024}
}