Life-span of classical solutions to hyperbolic geometric flow in two space variables with slow decay initial data
Differential Geometry
2010-04-19 v1 Analysis of PDEs
Abstract
In this paper we investigate the life-span of classical solutions to the hyperbolic geometric flow in two space variables with slow decay initial data. By establishing some new estimates on the solutions of linear wave equations in two space variables, we give a lower bound of the life-span of classical solutions to the hyperbolic geometric flow with asymptotic flat initial Riemann surfaces.
Cite
@article{arxiv.1004.2756,
title = {Life-span of classical solutions to hyperbolic geometric flow in two space variables with slow decay initial data},
author = {De-Xing Kong and Kefeng Liu and Yu-Zhu Wang},
journal= {arXiv preprint arXiv:1004.2756},
year = {2010}
}
Comments
27 pages