Life-span of classical solutions to hyperbolic geometric flow in two space variables with slow decay initial data

Mathematics – Differential Geometry

Scientific paper

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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.

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