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Life-Span of Classical Solutions to Hyperbolic Geometric Flow in Two Space Variables with Slow Decay Initial Data |
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| Authors: | De-Xing Kong Kefeng Liu Yu-Zhu Wang |
| Affiliation: | 1. Department of Mathematics , Zhejiang University , Hangzhou, China kong@cms.zju.edu.cn;3. Department of Mathematics , University of California Los Angeles , Los Angeles, California;4. School of Mathematics and Information Sciences , North China University of Water Resources and Electric Power , Zhengzhou, China |
| 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. |
| Keywords: | Cauchy problem Classical solution Hyperbolic geometric flow Life-span Riemann surface |