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arXiv · 1004.2756

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

De-Xing Kong·Kefeng Liu·Yu-Zhu Wang
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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.

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De-Xing Kong, Kefeng Liu, Yu-Zhu Wang. 2010-04-16. Life-span of classical solutions to hyperbolic geometric flow in two space variables with slow decay initial data. https://arxiv.org/abs/1004.2756

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