Mathematics – Differential Geometry
Scientific paper
2010-04-16
Mathematics
Differential Geometry
27 pages
Scientific paper
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.
Kong De-Xing
Liu Kefeng
Wang Yu-Zhu
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